Structures comprising mono-symmetric thin-walled beams (TBs) and rigid bodies (RBs) with complex topologies are commonly used in various surgical applications, including continuum robots and sensors. However, research about the dynamic modelling of these structures is rarely performed. In this paper, we develop a three-dimensional (3D) dynamic model for the system consisting of mono-symmetric TBs and RBs in a general manner utilizing a transfer matrix method (TMM). Firstly, the governing equations of the TB in the 3D space is derived by fully incorporating warping and shear effects, and the stability during the process of computing the transfer matrix (TM) is discussed. It is discovered that while the TM for the axial vibration is stable, the computations for bending and bending-torsion vibrations are numerically unstable due to the presence of the exponent terms in the TM, when the analysis frequency and TB length increase. Interestingly, the computation of the axial vibration response in a complex structure becomes unstable due to the coupled vibration among the TBs and RBs, compared to a single-span TB. To address this issue of numerical instability, a low-dimension TMM (14 × 14) is proposed by reducing the length of transfer path by using the substructure synthesis method. Several typical topologies, such as “chain-like”, “branch”, and cascaded “closed-loop” structures are addressed by the proposed method. Case studies have been conducted to illustrate the accuracy of the developed 3D dynamic model and the effectiveness of the proposed method in addressing the numerical difficulties of the conventional TMM at high frequencies. The proposed approach exhibits several advantages, including easy programming, accurate solution, and small degrees-of-freedom for intricate topologies, enabling the analysts to design structures more efficiently.
{"title":"A low-dimension, and numerically stable transfer matrix method to predict the dynamics of thin-walled beams with rigid bodies under intricate topologies","authors":"Ze-Chao Wang , Yu-Fu Qiu , Jiang-Hua Chen , Xin Tong , Shing Shin Cheng","doi":"10.1016/j.ijsolstr.2025.113227","DOIUrl":"10.1016/j.ijsolstr.2025.113227","url":null,"abstract":"<div><div>Structures comprising mono-symmetric thin-walled beams (TBs) and rigid bodies (RBs) with complex topologies are commonly used in various surgical applications, including continuum robots and sensors. However, research about the dynamic modelling of these structures is rarely performed. In this paper, we develop a three-dimensional (3D) dynamic model for the system consisting of mono-symmetric TBs and RBs in a general manner utilizing a transfer matrix method (TMM). Firstly, the governing equations of the TB in the 3D space is derived by fully incorporating warping and shear effects, and the stability during the process of computing the transfer matrix (TM) is discussed. It is discovered that while the TM for the axial vibration is stable, the computations for bending and bending-torsion vibrations are numerically unstable due to the presence of the exponent terms in the TM, when the analysis frequency and TB length increase. Interestingly, the computation of the axial vibration response in a complex structure becomes unstable due to the coupled vibration among the TBs and RBs, compared to a single-span TB. To address this issue of numerical instability, a low-dimension TMM (14 × 14) is proposed by reducing the length of transfer path by using the substructure synthesis method. Several typical topologies, such as “chain-like”, “branch”, and cascaded “closed-loop” structures are addressed by the proposed method. Case studies have been conducted to illustrate the accuracy of the developed 3D dynamic model and the effectiveness of the proposed method in addressing the numerical difficulties of the conventional TMM at high frequencies. The proposed approach exhibits several advantages, including easy programming, accurate solution, and small degrees-of-freedom for intricate topologies, enabling the analysts to design structures more efficiently.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113227"},"PeriodicalIF":3.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-15DOI: 10.1016/j.ijsolstr.2025.113238
Kai Tao , Xiao He , Hanwen Lu , Zhibo Zhang , Yong Yang , Eloi Pineda , Kaikai Song , Yiqiang He , Jichao Qiao
Despite extensive research over the past three decades into how indentation depth affects the hardness () of both crystalline and non-crystalline materials, a mechanistic understanding of this phenomenon remains elusive. Here, we report that the depth dependence of is also present in bulk metallic glasses. Importantly, indentation depth dependence is observed not only in hardness but also in the reduced elastic modulus . We observed that initially increases with increasing indentation depth up to the yielding point. Beyond this point, however, it decreases with further increase of , indicating the presence of an indentation depth dependence in the plastic regions. The evolution of follows a similar trend. Based on our findings, firstly, we established the relationship between indentation hardness and the ratio of contact radius to indentation depth using classical Hertzian contact mechanics. Then, we developed a model based on the atomic-scale cooperative shear mechanism to interpret the indentation size effects in bulk metallic glasses. Furthermore, we observed that correlates with the cube of the ratio of indentation elastic depth to total depth , or alternatively, with the ratio of indentation elastic work to total work. Our findings gave a scaling law, , that uncovers an inherent relationship of hardness with the mean pressure at the onset of plasticity, flow hardness , and the ratio . The work underscores that the indentation depth effect stems from the interplay between elasticity and plasticity, rather than being solely influenced by factors like indentation depth, contact area, or indenter radius. This highlights its crucial role in comprehending and evaluating the plastic deformation of bulk metallic glasses at the submicron scale.
{"title":"Model for the onset of plasticity and hardness in bulk metallic glasses investigated by nanoindentation with a spherical indenter","authors":"Kai Tao , Xiao He , Hanwen Lu , Zhibo Zhang , Yong Yang , Eloi Pineda , Kaikai Song , Yiqiang He , Jichao Qiao","doi":"10.1016/j.ijsolstr.2025.113238","DOIUrl":"10.1016/j.ijsolstr.2025.113238","url":null,"abstract":"<div><div>Despite extensive research over the past three decades into how indentation depth affects the hardness (<span><math><mi>H</mi></math></span>) of both crystalline and non-crystalline materials, a mechanistic understanding of this phenomenon remains elusive. Here, we report that the depth dependence of <span><math><mi>H</mi></math></span> is also present in bulk metallic glasses. Importantly, indentation depth dependence is observed not only in hardness but also in the reduced elastic modulus <span><math><msub><mi>E</mi><mi>r</mi></msub></math></span>. We observed that <span><math><mi>H</mi></math></span> initially increases with increasing indentation depth <span><math><msub><mi>h</mi><mi>t</mi></msub></math></span> up to the yielding point. Beyond this point, however, it decreases with further increase of <span><math><msub><mi>h</mi><mi>t</mi></msub></math></span>, indicating the presence of an indentation depth dependence in the plastic regions. The evolution of <span><math><msub><mi>E</mi><mi>r</mi></msub></math></span> follows a similar trend. Based on our findings, firstly, we established the relationship between indentation hardness and the ratio of contact radius to indentation depth using classical Hertzian contact mechanics. Then, we developed a model based on the atomic-scale cooperative shear mechanism to interpret the indentation size effects in bulk metallic glasses. Furthermore, we observed that <span><math><mi>H</mi></math></span> correlates with the cube of the ratio of indentation elastic depth <span><math><msub><mi>h</mi><mi>e</mi></msub></math></span> to total depth <span><math><msub><mi>h</mi><mi>t</mi></msub></math></span>, or alternatively, with the ratio of indentation elastic work to total work. Our findings gave a scaling law, <span><math><mrow><mi>H</mi><mo>=</mo><msup><mrow><mfenced><mrow><msub><mi>h</mi><mi>e</mi></msub><mo>/</mo><msub><mi>h</mi><mi>t</mi></msub></mrow></mfenced></mrow><mn>3</mn></msup><mfenced><mrow><msub><mi>H</mi><mi>e</mi></msub><mo>-</mo><msub><mi>H</mi><mi>p</mi></msub></mrow></mfenced><mo>+</mo><msub><mi>H</mi><mi>p</mi></msub></mrow></math></span>, that uncovers an inherent relationship of hardness <span><math><mi>H</mi></math></span> with the mean pressure <span><math><msub><mi>H</mi><mi>e</mi></msub></math></span> at the onset of plasticity, flow hardness <span><math><msub><mi>H</mi><mi>p</mi></msub></math></span>, and the ratio <span><math><mrow><msub><mi>h</mi><mi>e</mi></msub><mo>/</mo><msub><mi>h</mi><mi>t</mi></msub></mrow></math></span>. The work underscores that the indentation depth effect stems from the interplay between elasticity and plasticity, rather than being solely influenced by factors like indentation depth, contact area, or indenter radius. This highlights its crucial role in comprehending and evaluating the plastic deformation of bulk metallic glasses at the submicron scale.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113238"},"PeriodicalIF":3.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-13DOI: 10.1016/j.ijsolstr.2025.113222
I. Argatov
A multi-punch contact interface is modeled as a system of cylindrical rigid punches (of the same thickness but of arbitrary in-plane cross-section) sandwiched between two dissimilar elastic half-spaces. A simple approximate analytical solution for the contact stiffness of the multi-punch contact interface is obtained by Kachanov’s method. The so-called circular-line contact configuration of a system of circular punches located on a circle is studied in detail. The developed mathematical modeling framework has been applied for the analysis of the recently reported experimental data on the critical load of silicon wafers in transfer printing, which is associated with appearance of cracks in at least one wafer. A strong correlation between the specific critical load (i.e., the total critical load per wafer) and the stiffness reduction factor has been established.
{"title":"A critical note on the role of the contact stiffness in fracture of the multi-punch contact interface","authors":"I. Argatov","doi":"10.1016/j.ijsolstr.2025.113222","DOIUrl":"10.1016/j.ijsolstr.2025.113222","url":null,"abstract":"<div><div>A multi-punch contact interface is modeled as a system of cylindrical rigid punches (of the same thickness but of arbitrary in-plane cross-section) sandwiched between two dissimilar elastic half-spaces. A simple approximate analytical solution for the contact stiffness of the multi-punch contact interface is obtained by Kachanov’s method. The so-called circular-line contact configuration of a system of circular punches located on a circle is studied in detail. The developed mathematical modeling framework has been applied for the analysis of the recently reported experimental data on the critical load of silicon wafers in transfer printing, which is associated with appearance of cracks in at least one wafer. A strong correlation between the specific critical load (i.e., the total critical load per wafer) and the stiffness reduction factor has been established.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113222"},"PeriodicalIF":3.4,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-13DOI: 10.1016/j.ijsolstr.2024.113200
Anqi Li , Joris J.C. Remmers , Johannes A.W. van Dommelen , Thierry J. Massart , Marc G.D. Geers
In this paper, a novel mean-field homogenization (MFH) model for fiber reinforced composite materials is presented. The model idealizes the fiber reinforcement and matrix interaction as a series of layered two-phase composite inclusions, where deformation compatibility and stress equilibrium constraints are properly incorporated to capture a fiber reinforced material. The model is formulated in a large deformation setting with no restriction on the type of the underlying constitutive relations. The algorithm can be implemented as a user material in commercial FE codes. In this paper, we present an implementation in ABAQUS and the homogenization results are compared to direct numerical simulations (DNS). Several test cases are presented to demonstrate the ability of the model to capture the homogenized hyperelastic/elasto-plastic stress–strain behavior of fibrous composites in different loading conditions.
{"title":"A mean-field homogenization model for fiber reinforced composite materials in large deformation with plasticity","authors":"Anqi Li , Joris J.C. Remmers , Johannes A.W. van Dommelen , Thierry J. Massart , Marc G.D. Geers","doi":"10.1016/j.ijsolstr.2024.113200","DOIUrl":"10.1016/j.ijsolstr.2024.113200","url":null,"abstract":"<div><div>In this paper, a novel mean-field homogenization (MFH) model for fiber reinforced composite materials is presented. The model idealizes the fiber reinforcement and matrix interaction as a series of layered two-phase composite inclusions, where deformation compatibility and stress equilibrium constraints are properly incorporated to capture a fiber reinforced material. The model is formulated in a large deformation setting with no restriction on the type of the underlying constitutive relations. The algorithm can be implemented as a user material in commercial FE codes. In this paper, we present an implementation in ABAQUS and the homogenization results are compared to direct numerical simulations (DNS). Several test cases are presented to demonstrate the ability of the model to capture the homogenized hyperelastic/elasto-plastic stress–strain behavior of fibrous composites in different loading conditions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113200"},"PeriodicalIF":3.4,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-13DOI: 10.1016/j.ijsolstr.2025.113228
Chunzhi Du , Jing Zhou , Xizi Li , Bingfei Liu
This study presents a micromechanical constitutive model for Shape Memory Alloy Fiber Reinforced Plastics (SMA-FRP) that considers cyclic hygrothermal damage. The SMA-FRP composite consists of SMA fiber inclusions embedded in a polymer matrix, leveraging the advantageous properties of both smart alloys and multifunctional composites. The model introduces a thermal cycling damage factor for the SMA fiber and a hygrothermal cycling damage factor for the resin matrix, establishing a constitutive framework that highlights how the combined effects of moisture and temperature significantly accelerate material damage accumulation. To enhance the characteristics of this composite, a homogenization process for the mechanical response is applied using the Mori-Tanaka method, which is based on Eshelby’s equivalent inclusion theory and incorporates hygrothermal effects. This process includes the homogenization of the effective overall elastic strain tensor, the average phase transformation strain tensor from the SMA inclusion, the average thermal strain tensor from the inclusion and matrix, as well as the average hygroscopic strain tensor from the matrix, providing a comprehensive view of the super-elastic hysteresis under hygrothermal conditions. The thermodynamic constitutive model for the SMA inclusion is highly compatible with the proposed homogenization approach for SMA-FRP, offering computational efficiency. This model effectively quantifies the influence of external factors on SMA-FRP.
{"title":"A micromechanical model for shape memory alloy fiber reinforced plastics considering cyclic hygrothermal damage","authors":"Chunzhi Du , Jing Zhou , Xizi Li , Bingfei Liu","doi":"10.1016/j.ijsolstr.2025.113228","DOIUrl":"10.1016/j.ijsolstr.2025.113228","url":null,"abstract":"<div><div>This study presents a micromechanical constitutive model for Shape Memory Alloy Fiber Reinforced Plastics (SMA-FRP) that considers cyclic hygrothermal damage. The SMA-FRP composite consists of SMA fiber inclusions embedded in a polymer matrix, leveraging the advantageous properties of both smart alloys and multifunctional composites. The model introduces a thermal cycling damage factor for the SMA fiber and a hygrothermal cycling damage factor for the resin matrix, establishing a constitutive framework that highlights how the combined effects of moisture and temperature significantly accelerate material damage accumulation. To enhance the characteristics of this composite, a homogenization process for the mechanical response is applied using the Mori-Tanaka method, which is based on Eshelby’s equivalent inclusion theory and incorporates hygrothermal effects. This process includes the homogenization of the effective overall elastic strain tensor, the average phase transformation strain tensor from the SMA inclusion, the average thermal strain tensor from the inclusion and matrix, as well as the average hygroscopic strain tensor from the matrix, providing a comprehensive view of the super-elastic hysteresis under hygrothermal conditions. The thermodynamic constitutive model for the SMA inclusion is highly compatible with the proposed homogenization approach for SMA-FRP, offering computational efficiency. This model effectively quantifies the influence of external factors on SMA-FRP.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113228"},"PeriodicalIF":3.4,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143166724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-12DOI: 10.1016/j.ijsolstr.2025.113225
Miroslav Zecevic, Ricardo A. Lebensohn
This paper presents a new approach for applying non-periodic boundary conditions in the context of FFT-based methods to solve micromechanical problems in heterogeneous solids. The domain of the original problem is extended to satisfy the periodicity requirements at the boundary of the extended domain. The velocity constraint on the boundary of the original domain is replaced by a corresponding constraint on the velocity gradient in the extended volume, and a two-level augmented Lagrangian method is used to enforce the constraint. The proposed method is implemented as an extension of the large-strain elasto-viscoplastic FFT-based (LS-EVPFFT) model of Zecevic et al. (2022). The proposed method is verified in the cases of fully imposed velocity boundary conditions and mixed velocity/traction-free boundary conditions. The accuracy and convergence of the method are studied next, followed by applications to bending and indentation of polycrystals that illustrate the extended capabilities of the proposed formulation.
{"title":"Extended FFT-based micromechanical formulation to consider general non-periodic boundary conditions","authors":"Miroslav Zecevic, Ricardo A. Lebensohn","doi":"10.1016/j.ijsolstr.2025.113225","DOIUrl":"10.1016/j.ijsolstr.2025.113225","url":null,"abstract":"<div><div>This paper presents a new approach for applying non-periodic boundary conditions in the context of FFT-based methods to solve micromechanical problems in heterogeneous solids. The domain of the original problem is extended to satisfy the periodicity requirements at the boundary of the extended domain. The velocity constraint on the boundary of the original domain is replaced by a corresponding constraint on the velocity gradient in the extended volume, and a two-level augmented Lagrangian method is used to enforce the constraint. The proposed method is implemented as an extension of the large-strain elasto-viscoplastic FFT-based (LS-EVPFFT) model of <span><span>Zecevic et al. (2022)</span></span>. The proposed method is verified in the cases of fully imposed velocity boundary conditions and mixed velocity/traction-free boundary conditions. The accuracy and convergence of the method are studied next, followed by applications to bending and indentation of polycrystals that illustrate the extended capabilities of the proposed formulation.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113225"},"PeriodicalIF":3.4,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143167719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-12DOI: 10.1016/j.ijsolstr.2025.113217
Zuodong Wang , Zhanfeng Li , Jiong Wang
In this paper, we study the field-induced bending deformations of multi-layered hard-magnetic soft material (HMSM) plates. First, the total energy functional for HMSM plates is established following the classical approach of the magnetostatic theory. Through variational calculations, the 3D governing equation system can be formulated, which is simplified by neglecting the effect of the activated magnetic field. Starting from the simplified 3D governing equations and through a series-expansion and truncation approach, we derive a general finite-strain plate model for multi-layered HMSM plates. Based on this multi-layered plate model, we further study the field-induced bending deformations of bilayer HMSM plates. By identifying some small parameters and conducting asymptotic analyses, the plate equation system is reduced to a simple asymptotic ODE, which can be solved by using analytical or numerical methods. To show the efficiency of the asymptotic ODE, its solutions in several typical examples are obtained and compared with the results of FE simulations, which show very good consistencies. The effects of the material and geometrical parameters, as well as the magnetization vector fields, on the magneto-mechanical response of the plate samples can also be revealed. Furthermore, the shape-control problem and instability of HMSM plates under magnetic actuation are analyzed.
{"title":"Asymptotic analyses on field-induced bending deformations of multi-layered hard-magnetic soft material plates","authors":"Zuodong Wang , Zhanfeng Li , Jiong Wang","doi":"10.1016/j.ijsolstr.2025.113217","DOIUrl":"10.1016/j.ijsolstr.2025.113217","url":null,"abstract":"<div><div>In this paper, we study the field-induced bending deformations of multi-layered hard-magnetic soft material (HMSM) plates. First, the total energy functional for HMSM plates is established following the classical approach of the magnetostatic theory. Through variational calculations, the 3D governing equation system can be formulated, which is simplified by neglecting the effect of the activated magnetic field. Starting from the simplified 3D governing equations and through a series-expansion and truncation approach, we derive a general finite-strain plate model for multi-layered HMSM plates. Based on this multi-layered plate model, we further study the field-induced bending deformations of bilayer HMSM plates. By identifying some small parameters and conducting asymptotic analyses, the plate equation system is reduced to a simple asymptotic ODE, which can be solved by using analytical or numerical methods. To show the efficiency of the asymptotic ODE, its solutions in several typical examples are obtained and compared with the results of FE simulations, which show very good consistencies. The effects of the material and geometrical parameters, as well as the magnetization vector fields, on the magneto-mechanical response of the plate samples can also be revealed. Furthermore, the shape-control problem and instability of HMSM plates under magnetic actuation are analyzed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113217"},"PeriodicalIF":3.4,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-11DOI: 10.1016/j.ijsolstr.2025.113221
S. Gören , F.A.M. Pereira , N. Quyền , M.F.S.F. de Moura , N. Dourado
This work addresses the mode I fracture characterisation of a common bi-material adhesive joint used in the automotive industry. The joint is composed of a copolymer of polycarbonate and acrylonitrile butadiene styrene (PC + ABS) bonded to a woven glass fibre reinforced with epoxy matrix composite (PCB) using urethane polymer adhesive cured with UV light and suitable humidity. The bi-material adhesive joint was prepared to analyse the effect of the arithmetic average roughness Ra of the polymeric component surface on the critical value of strain energy release rate GIc. Due to significant differences in the elastic properties of the PC + ABS copolymer and the PCB, the asymmetric double–cantilever beam (ADCB) test was chosen, with flexural stiffness appropriately balanced to induce predominant mode I loading. Since the crack length could not be accurately tracked during the loading process, the compliance-based beam method was employed as a data reduction scheme to assess GIc, using concepts of beam theory and equivalent crack length. The procedure was numerically validated for each roughness value Ra tested experimentally (i.e., 0.45, 1.12 and 4.50 μm) using a cohesive zone model, with a trapezoidal-linear cohesive law, to simulate damage initiation and growth. Apart from the cohesive laws further determined by a developed inverse method, the experimental work allowed to identify a value of arithmetic average roughness Ra for which the critical strain energy release rate attains its maximum under mode I loading before it slightly decreases.
{"title":"Fracture characterisation of a bi-material adhesive joint under mode I loading: Effect of roughness at the bonding interface","authors":"S. Gören , F.A.M. Pereira , N. Quyền , M.F.S.F. de Moura , N. Dourado","doi":"10.1016/j.ijsolstr.2025.113221","DOIUrl":"10.1016/j.ijsolstr.2025.113221","url":null,"abstract":"<div><div>This work addresses the mode I fracture characterisation of a common bi-material adhesive joint used in the automotive industry. The joint is composed of a copolymer of polycarbonate and acrylonitrile butadiene styrene (PC + ABS) bonded to a woven glass fibre reinforced with epoxy matrix composite (PCB) using urethane polymer adhesive cured with UV light and suitable humidity. The bi-material adhesive joint was prepared to analyse the effect of the arithmetic average roughness <em>R</em><sub>a</sub> of the polymeric component surface on the critical value of strain energy release rate <em>G</em><sub>Ic</sub>. Due to significant differences in the elastic properties of the PC + ABS copolymer and the PCB, the asymmetric double–cantilever beam (ADCB) test was chosen, with flexural stiffness appropriately balanced to induce predominant mode I loading. Since the crack length could not be accurately tracked during the loading process, the compliance-based beam method was employed as a data reduction scheme to assess <em>G</em><sub>Ic</sub>, using concepts of beam theory and equivalent crack length. The procedure was numerically validated for each roughness value <em>R</em><sub>a</sub> tested experimentally (i.e., 0.45, 1.12 and 4.50 μm) using a cohesive zone model, with a trapezoidal-linear cohesive law, to simulate damage initiation and growth. Apart from the cohesive laws further determined by a developed inverse method, the experimental work allowed to identify a value of arithmetic average roughness <em>R</em><sub>a</sub> for which the critical strain energy release rate attains its maximum under mode I loading before it slightly decreases.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113221"},"PeriodicalIF":3.4,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143152671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-10DOI: 10.1016/j.ijsolstr.2025.113224
T. Parent , P. Morenon , P. Nougayrede , P. Taforel , F. Dubois , S. Morel
The preservation of a historic masonry monument with structural pathologies requires the implementation of a multidisciplinary diagnostic approach including a mechanical assessment of the structure. To this end, a wide variety of models (such as Continuum Homogeneous Models (CHM), Block-Based Models (BBM) and geometry-based models (GBM)) are available in the literature to simulate the mechanical behavior of this type of structure. In this article, three different models (two BBM and one CHM) are used simultaneously to assess the structural behavior of a choir span of Notre-Dame de Paris Cathedral in Paris, with an aim to assist architects with diagnosis and repair operations within a time frame of approximately one year. The same set of assumptions (loading, geometry, mechanical parameters) was applied to all three models. Using these models simultaneously allowed the research team to build an optimized structural assessment based on constant interaction between the different modeling approaches. This enabled the team to leverage the strengths of each method, ensuring a high degree of confidence in the final results. The comparison of models also revealed potential improvements that could be made to each model, with the goal of reducing calculation times and/or enhancing the consistency of results, particularly in terms of failure mechanisms and behavior laws.
{"title":"On the benefits of the use of complementary numerical models for the structural analysis of a historic masonry monument: Application to a sexpartite vault of Notre-Dame de Paris cathedral","authors":"T. Parent , P. Morenon , P. Nougayrede , P. Taforel , F. Dubois , S. Morel","doi":"10.1016/j.ijsolstr.2025.113224","DOIUrl":"10.1016/j.ijsolstr.2025.113224","url":null,"abstract":"<div><div>The preservation of a historic masonry monument with structural pathologies requires the implementation of a multidisciplinary diagnostic approach including a mechanical assessment of the structure. To this end, a wide variety of models (such as Continuum Homogeneous Models (CHM), Block-Based Models (BBM) and geometry-based models (GBM)) are available in the literature to simulate the mechanical behavior of this type of structure. In this article, three different models (two BBM and one CHM) are used simultaneously to assess the structural behavior of a choir span of Notre-Dame de Paris Cathedral in Paris, with an aim to assist architects with diagnosis and repair operations within a time frame of approximately one year. The same set of assumptions (loading, geometry, mechanical parameters) was applied to all three models. Using these models simultaneously allowed the research team to build an optimized structural assessment based on constant interaction between the different modeling approaches. This enabled the team to leverage the strengths of each method, ensuring a high degree of confidence in the final results. The comparison of models also revealed potential improvements that could be made to each model, with the goal of reducing calculation times and/or enhancing the consistency of results, particularly in terms of failure mechanisms and behavior laws.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113224"},"PeriodicalIF":3.4,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-09DOI: 10.1016/j.ijsolstr.2025.113226
Yuanxin Li , Jianwei Zhang , Yunlong Zhang , Minghao Zhao , Chunsheng Lu , Ming Liu
Scratch testing is widely used for its convenience and promise but lacks analytical or semi-analytical solutions for determining the mechanical properties of materials. In this paper, by investigating the scratch-induced strain field, we propose a semi-analytical solution for the forward prediction of scratch responses and inverse characterization of plastic parameters of metallic materials. The solution is verified through finite element simulation and experimental data from eight different metallic materials. The results indicate that the method is precise, with an average error of 5.25% in the forward prediction of scratch forces and 7.48% in the inverse characterization of plastic parameters. This work provides a solid theoretical foundation for using scratch tests to assess material plasticity.
{"title":"A semi-analytical solution for determining plastic parameters of metallic materials from scratch tests","authors":"Yuanxin Li , Jianwei Zhang , Yunlong Zhang , Minghao Zhao , Chunsheng Lu , Ming Liu","doi":"10.1016/j.ijsolstr.2025.113226","DOIUrl":"10.1016/j.ijsolstr.2025.113226","url":null,"abstract":"<div><div>Scratch testing is widely used for its convenience and promise but lacks analytical or semi-analytical solutions for determining the mechanical properties of materials. In this paper, by investigating the scratch-induced strain field, we propose a semi-analytical solution for the forward prediction of scratch responses and inverse characterization of plastic parameters of metallic materials. The solution is verified through finite element simulation and experimental data from eight different metallic materials. The results indicate that the method is precise, with an average error of 5.25% in the forward prediction of scratch forces and 7.48% in the inverse characterization of plastic parameters. This work provides a solid theoretical foundation for using scratch tests to assess material plasticity.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"310 ","pages":"Article 113226"},"PeriodicalIF":3.4,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143153311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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