Pub Date : 2024-02-28DOI: 10.1007/s11223-024-00601-3
O. Yu. Chirkov
The application and comparison of different fracture mechanics concepts are discussed to be used in computing stress intensity factors (SIF) from the numerical solutions of model crack theory problems with a mixed scheme of the finite element method. Approximation of displacements rests on piecewise-linear interpolation functions with triangular elements, and strain and stress distributions are approximated by the linear combination that includes the piecewise-linear interpolation and interior bell function. The latter ensures the stability and convergence of the approximate discrete problem solution. The solution results for linear elastic and elastoplastic model plane central mode I crack-strip tension problems under different loading and plane strain state conditions are presented. Elastoplastic calculations were made with an ideal elastoplastic material model. The application of the energy balance and G-integral concepts to the calculation of the specific work of fracture at the stationary crack tip is substantiated. It is shown that on condition of uniform plate partition in the vicinity of the crack tip, the application of those concepts to SIF calculation for one loading stage is consistent with the Irwin plastic zone correction, maintaining this approach in further mesh thickening. Elastoplastic calculations on repeated loading demonstrated that tensile stresses ahead of the crack tip were about the same as on the initial one, but the opening at the crack tip on the former was larger than on the latter, and this effect was most pronounced for the first half of active loading values. Several aspects of SIF calculations on repeated loading are presented.
本文讨论了不同断裂力学概念的应用和比较,这些概念可用于利用有限元法的混合方案从模型裂纹理论问题的数值解中计算应力强度因子(SIF)。位移的近似依赖于三角形元素的片断线性插值函数,应变和应力分布则通过包括片断线性插值和内部钟形函数的线性组合来近似。后者确保了近似离散问题解的稳定性和收敛性。文中给出了不同荷载和平面应变状态条件下线性弹性和弹塑性模型平面中心模 I 裂缝带拉伸问题的求解结果。弹塑性计算采用理想的弹塑性材料模型。能量平衡和 G 积分概念在静止裂纹尖端断裂比功计算中的应用得到了证实。结果表明,在裂纹尖端附近板块均匀分隔的条件下,将这些概念应用于一个加载阶段的 SIF 计算与欧文塑性区修正是一致的,在进一步加厚网格时保持这种方法。对重复加载进行的弹塑性计算表明,裂纹尖端前方的拉应力与初始加载大致相同,但前者裂纹尖端的开口大于后者,而且这种影响在有效加载值的前半部分最为明显。本文介绍了重复加载 SIF 计算的几个方面。
{"title":"Mixed Scheme of the Finite Element Method as a Basis for Computational Analysis of Model Crack Mechanics Problems","authors":"O. Yu. Chirkov","doi":"10.1007/s11223-024-00601-3","DOIUrl":"https://doi.org/10.1007/s11223-024-00601-3","url":null,"abstract":"<p>The application and comparison of different fracture mechanics concepts are discussed to be used in computing stress intensity factors (SIF) from the numerical solutions of model crack theory problems with a mixed scheme of the finite element method. Approximation of displacements rests on piecewise-linear interpolation functions with triangular elements, and strain and stress distributions are approximated by the linear combination that includes the piecewise-linear interpolation and interior bell function. The latter ensures the stability and convergence of the approximate discrete problem solution. The solution results for linear elastic and elastoplastic model plane central mode I crack-strip tension problems under different loading and plane strain state conditions are presented. Elastoplastic calculations were made with an ideal elastoplastic material model. The application of the energy balance and <i>G</i>-integral concepts to the calculation of the specific work of fracture at the stationary crack tip is substantiated. It is shown that on condition of uniform plate partition in the vicinity of the crack tip, the application of those concepts to SIF calculation for one loading stage is consistent with the Irwin plastic zone correction, maintaining this approach in further mesh thickening. Elastoplastic calculations on repeated loading demonstrated that tensile stresses ahead of the crack tip were about the same as on the initial one, but the opening at the crack tip on the former was larger than on the latter, and this effect was most pronounced for the first half of active loading values. Several aspects of SIF calculations on repeated loading are presented.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140007051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-28DOI: 10.1007/s11223-024-00618-8
X. L. Ge, H. Y. Xu, W. B. Liu, H. Wang, H. Yang
Firstly, this paper used a laser particle size analyzer to test the particle size distribution characteristics of four specific surface areas of phosphate slag powder particles. Then, it used the powder fractal theory to determine the fractal dimension of the different specific surface areas of the phosphate slag powder particle group. Finally, the effect of the fractal dimension of the phosphate slag powder particle group on the mechanical strength and activity index of the phosphate slag powder-cement cementitious system at 3 d, 28 d, and 180 d ages were studied. The results showed that the phosphate slag powder with different specific surface areas has self-similar fractal characteristics; the larger the specific surface area of phosphate slag powder, the higher the fractal dimension, and the fractal dimension of phosphate slag powder particle can characterize the properties of phosphate slag powder’s fineness and particle gradation in the process of grinding and refining. The phosphorus slag powder particle fractal dimension, the mechanical strength, and activity index of the phosphorus slag powder-cement cementitious system have linear correlation characteristics; the larger the fractal dimension, the higher the mechanical strength and activity index of the cementitious system with phosphate slag powder.
首先,本文使用激光粒度分析仪测试了四种比表面积磷矿渣粉末颗粒的粒度分布特征。然后,利用粉末分形理论确定了不同比表面积磷矿渣粉末颗粒组的分形维数。最后,研究了磷矿粉颗粒组的分形尺寸对磷矿粉-水泥胶凝体系在 3 d、28 d 和 180 d 龄期的机械强度和活性指数的影响。结果表明,不同比表面积的磷矿渣粉具有自相似的分形特征;磷矿渣粉的比表面积越大,分形维数越高,磷矿渣粉颗粒的分形维数可以表征磷矿渣粉在粉磨和细化过程中细度和颗粒级配的特性。磷渣粉颗粒分形维数、磷渣粉-水泥胶凝体系的力学强度和活性指数具有线性相关的特点,分形维数越大,磷渣粉胶凝体系的力学强度和活性指数越高。
{"title":"Self-Similar Fractal Characteristics of Phosphorus Slag Powder Particles and its Effect on the Mechanical Properties of Cementitious Systems","authors":"X. L. Ge, H. Y. Xu, W. B. Liu, H. Wang, H. Yang","doi":"10.1007/s11223-024-00618-8","DOIUrl":"https://doi.org/10.1007/s11223-024-00618-8","url":null,"abstract":"<p>Firstly, this paper used a laser particle size analyzer to test the particle size distribution characteristics of four specific surface areas of phosphate slag powder particles. Then, it used the powder fractal theory to determine the fractal dimension of the different specific surface areas of the phosphate slag powder particle group. Finally, the effect of the fractal dimension of the phosphate slag powder particle group on the mechanical strength and activity index of the phosphate slag powder-cement cementitious system at 3 d, 28 d, and 180 d ages were studied. The results showed that the phosphate slag powder with different specific surface areas has self-similar fractal characteristics; the larger the specific surface area of phosphate slag powder, the higher the fractal dimension, and the fractal dimension of phosphate slag powder particle can characterize the properties of phosphate slag powder’s fineness and particle gradation in the process of grinding and refining. The phosphorus slag powder particle fractal dimension, the mechanical strength, and activity index of the phosphorus slag powder-cement cementitious system have linear correlation characteristics; the larger the fractal dimension, the higher the mechanical strength and activity index of the cementitious system with phosphate slag powder.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140007184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-28DOI: 10.1007/s11223-024-00602-2
O. V. Makhnenko, S. M. Kandala
To date, most WWER-1000 nuclear power units in Ukraine have reached the end of their design life (30 years). In view of this, work is under way to extend the service life of critical equipment elements beyond the design life (to up to 60 years). In addition to reactor vessels, these critical elements include vessel internals (VI). One of the key approaches in such works is a predictive assessment of the structural integrity of VI structures using mathematical modeling of physical processes typical for power unit operation under intense radiation exposure of structural material. The service life prediction methodology constantly requires refining and taking into account more factors affecting structural integrity. The paper considers the kinetics of changes in the stress intensity factor for postulated cracks in the reflection shield of WWER-1000 VIs during long-term operation and at the time of reactor emergency during the rupture of primary coolant circuit pipelines with a nominal diameter of 100 to 850 mm in the most dangerous areas in terms of brittle fracture resistance. A significant impact of taking into account the residual stresses formed as a result of welding and heat treatment of the reflection shield during manufacturing on the results of calculating the brittle fracture resistance was revealed, which may affect the conservatism of assessment methods when justifying long-term operation.
{"title":"Brittle Fracture Resistance of the Reflection Shield of a WWER-1000 Reactorunder Normal Operating and Emergency Conditions","authors":"O. V. Makhnenko, S. M. Kandala","doi":"10.1007/s11223-024-00602-2","DOIUrl":"https://doi.org/10.1007/s11223-024-00602-2","url":null,"abstract":"<p>To date, most WWER-1000 nuclear power units in Ukraine have reached the end of their design life (30 years). In view of this, work is under way to extend the service life of critical equipment elements beyond the design life (to up to 60 years). In addition to reactor vessels, these critical elements include vessel internals (VI). One of the key approaches in such works is a predictive assessment of the structural integrity of VI structures using mathematical modeling of physical processes typical for power unit operation under intense radiation exposure of structural material. The service life prediction methodology constantly requires refining and taking into account more factors affecting structural integrity. The paper considers the kinetics of changes in the stress intensity factor for postulated cracks in the reflection shield of WWER-1000 VIs during long-term operation and at the time of reactor emergency during the rupture of primary coolant circuit pipelines with a nominal diameter of 100 to 850 mm in the most dangerous areas in terms of brittle fracture resistance. A significant impact of taking into account the residual stresses formed as a result of welding and heat treatment of the reflection shield during manufacturing on the results of calculating the brittle fracture resistance was revealed, which may affect the conservatism of assessment methods when justifying long-term operation.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140007340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-28DOI: 10.1007/s11223-024-00619-7
Due to critical vibration and excess weight in the frame structure of the automobile, the automobile acceleration effects are the primary problems. This paper describes the material selection based on its weight, vibration reduction, and increasing vehicle performance. The front cabins heavy-duty van frame was considered for this research work and designed according to the frame dimension. Generally, the frame is made of mild steel and replaced by high-strength extrusion magnesium alloy. The frame structures crash and impact analysis was investigated using nonlinear buckling and transient analysis. The stress, vibration and nonlinear buckling analysis was obtained under different loading conditions. The bending performance of the frame was analytically investigated and verified with the FEA code (ANSYS 15.0).
{"title":"Performance Study on a High-Strength Extruded Magnesium Alloy Van Frame Using FEA","authors":"","doi":"10.1007/s11223-024-00619-7","DOIUrl":"https://doi.org/10.1007/s11223-024-00619-7","url":null,"abstract":"<p>Due to critical vibration and excess weight in the frame structure of the automobile, the automobile acceleration effects are the primary problems. This paper describes the material selection based on its weight, vibration reduction, and increasing vehicle performance. The front cabins heavy-duty van frame was considered for this research work and designed according to the frame dimension. Generally, the frame is made of mild steel and replaced by high-strength extrusion magnesium alloy. The frame structures crash and impact analysis was investigated using nonlinear buckling and transient analysis. The stress, vibration and nonlinear buckling analysis was obtained under different loading conditions. The bending performance of the frame was analytically investigated and verified with the FEA code (ANSYS 15.0).</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140007198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-28DOI: 10.1007/s11223-024-00612-0
F. H. Cao, Y. Zhang, Y. Chen, M. G. Jiang, J. L. Zhou, Y. He
This paper systematically analyzed and discussed the microstructure and mechanical properties of as-cast AZ61 magnesium alloy with rare-earth content of 1.0~4.0 wt.% by optical microscopy, SEM, EDS, and XRD. The results indicate that in addition to the obvious distribution of skeletal β-Mg17Al12 phase, a small amount of Mg32(Al, Zn)49 quasicrystal phase is distributed in as-cast AZ61 alloy. With the addition of rare-earth content, the skeletal β-Mg17Al12 phase dendrites in the as-cast AZ61 magnesium alloy matrix are decomposed obviously. The dendrite decomposition is more serious with increased Rare-earth content, and the quasicrystal Mg32(Al, Zn)49 disappears. When the rare-earth content is 1%Ce~2%Ce, the alloy mainly consists of needle-like, dot-like, or clustered Al4Ce and Al8Mn4Ce phases with a small amount of Al4La. When 2.8%Ce+1.2%Nd mixed rare-earth was added, the Al8Mn4Ce phase was not found in the alloy but mainly composed of Al3Nd and Al4Ce rare-earth phases. These rare-earth phases were radiative needle-like, willow leaf-like, rod-like, spot-like, layer-like, and a little irregular block. The as-cast AEZ641(2.8 wt.% Ce+1.2 wt.% Nd) magnesium alloy has the best comprehensive performance, and the yield strength is 2% higher than the as-cast AZ61 alloy. Its tensile strength, hardness, and elongation are similar to as-cast AZ61 alloy. The fracture mechanism of as-cast AZ61 + xRE is mainly a cleavage-type brittle fracture.
{"title":"Analysis and Discussion on the Room Temperature Microstructure and Properties of High Content Mixed Rare-Earth As-Cast AZ61 Magnesium Alloy","authors":"F. H. Cao, Y. Zhang, Y. Chen, M. G. Jiang, J. L. Zhou, Y. He","doi":"10.1007/s11223-024-00612-0","DOIUrl":"https://doi.org/10.1007/s11223-024-00612-0","url":null,"abstract":"<p>This paper systematically analyzed and discussed the microstructure and mechanical properties of as-cast AZ61 magnesium alloy with rare-earth content of 1.0~4.0 wt.% by optical microscopy, SEM, EDS, and XRD. The results indicate that in addition to the obvious distribution of skeletal <i>β</i>-Mg<sub>17</sub>Al<sub>12</sub> phase, a small amount of Mg<sub>32</sub>(Al, Zn)<sub>49</sub> quasicrystal phase is distributed in as-cast AZ61 alloy. With the addition of rare-earth content, the skeletal <i>β</i>-Mg<sub>17</sub>Al<sub>12</sub> phase dendrites in the as-cast AZ61 magnesium alloy matrix are decomposed obviously. The dendrite decomposition is more serious with increased Rare-earth content, and the quasicrystal Mg<sub>32</sub>(Al, Zn)<sub>49</sub> disappears. When the rare-earth content is 1%Ce~2%Ce, the alloy mainly consists of needle-like, dot-like, or clustered Al<sub>4</sub>Ce and Al<sub>8</sub>Mn<sub>4</sub>Ce phases with a small amount of Al<sub>4</sub>La. When 2.8%Ce+1.2%Nd mixed rare-earth was added, the Al<sub>8</sub>Mn<sub>4</sub>Ce phase was not found in the alloy but mainly composed of Al<sub>3</sub>Nd and Al<sub>4</sub>Ce rare-earth phases. These rare-earth phases were radiative needle-like, willow leaf-like, rod-like, spot-like, layer-like, and a little irregular block. The as-cast AEZ641(2.8 wt.% Ce+1.2 wt.% Nd) magnesium alloy has the best comprehensive performance, and the yield strength is 2% higher than the as-cast AZ61 alloy. Its tensile strength, hardness, and elongation are similar to as-cast AZ61 alloy. The fracture mechanism of as-cast AZ61 + xRE is mainly a cleavage-type brittle fracture.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140007197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-27DOI: 10.1007/s11223-024-00600-4
V. R. Skalskyi, I. M. Dmytrakh, O. T. Tsyrulnyk, A. M. Syrotyuk, O. I. Zvirko
The paper considers the use of hydrogen as a component of the technological process to solve an applied problem - the control of material defects, which consisted of controlled fragmentation of steel under dynamic loading to facilitate the cracking of the metal volume. Medium-carbon pearlite-ferrite steel of steel 60 types under electrochemical hydrogenation is studied. The criterion parameter of the material state was the energy of impact loading by three-point bending of smooth beam specimens. By selecting the electrochemical hydrogenation modes in terms of intensity (current) and duration of the process, as well as the composition of the electrolyte, a significant reduction in the energy intensity of steel fracture was obtained, which correlates with the residual hydrogen concentration in the metal. Metallographic analysis of the surface of the specimens confirmed the hydrogenation effect on the initiation of defects, which can be used for controlled steel fragmentation.
{"title":"Development of a Method for Controlled Hydrogen Fragmentation of Medium-Carbon Steels to Reduce Their Crack Resistance","authors":"V. R. Skalskyi, I. M. Dmytrakh, O. T. Tsyrulnyk, A. M. Syrotyuk, O. I. Zvirko","doi":"10.1007/s11223-024-00600-4","DOIUrl":"https://doi.org/10.1007/s11223-024-00600-4","url":null,"abstract":"<p>The paper considers the use of hydrogen as a component of the technological process to solve an applied problem - the control of material defects, which consisted of controlled fragmentation of steel under dynamic loading to facilitate the cracking of the metal volume. Medium-carbon pearlite-ferrite steel of steel 60 types under electrochemical hydrogenation is studied. The criterion parameter of the material state was the energy of impact loading by three-point bending of smooth beam specimens. By selecting the electrochemical hydrogenation modes in terms of intensity (current) and duration of the process, as well as the composition of the electrolyte, a significant reduction in the energy intensity of steel fracture was obtained, which correlates with the residual hydrogen concentration in the metal. Metallographic analysis of the surface of the specimens confirmed the hydrogenation effect on the initiation of defects, which can be used for controlled steel fragmentation.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140007427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-27DOI: 10.1007/s11223-024-00607-x
P. O. Bulakh, O. M. Maslo
The paper presents the results of an experimental study of the deformation properties of 10GN2MFA and 15Kh2MFA steels at different ratios of principal stresses under cyclic loading conditions. Applying the proposed phenomenological approach of an improved elastic-viscoplastic model allows one to qualitatively describe the effects of the influence of structure degradation under the action of temperature and force factors that accompany the operation of actual structural elements significantly affecting the regularities of deformation and damageability and the strength of structural materials under combined stress conditions. An evaluation of the variation rate in the homogeneity of the studied steels at different ratios of principal cyclic stresses under cyclic creep conditions is presented. Based on the experimental results, correlation dependences between the relative values of the homogeneity coefficient and the function of the deformation properties of the material and the type of stress state were obtained, which significantly simplifies the determination of the parameters characterizing the limiting state of the structural element.
{"title":"A study of the deformation properties of 10GN2MFA and 15Kh2MFA steels taking into account material damageability under plane stress conditions","authors":"P. O. Bulakh, O. M. Maslo","doi":"10.1007/s11223-024-00607-x","DOIUrl":"https://doi.org/10.1007/s11223-024-00607-x","url":null,"abstract":"<p>The paper presents the results of an experimental study of the deformation properties of 10GN2MFA and 15Kh2MFA steels at different ratios of principal stresses under cyclic loading conditions. Applying the proposed phenomenological approach of an improved elastic-viscoplastic model allows one to qualitatively describe the effects of the influence of structure degradation under the action of temperature and force factors that accompany the operation of actual structural elements significantly affecting the regularities of deformation and damageability and the strength of structural materials under combined stress conditions. An evaluation of the variation rate in the homogeneity of the studied steels at different ratios of principal cyclic stresses under cyclic creep conditions is presented. Based on the experimental results, correlation dependences between the relative values of the homogeneity coefficient and the function of the deformation properties of the material and the type of stress state were obtained, which significantly simplifies the determination of the parameters characterizing the limiting state of the structural element.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139981033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-22DOI: 10.1007/s11223-023-00590-9
Member stiffness in bolted connections has been widely studied for homogenous and isotropic materials contrary to composite sandwich ones. Therefore, a numerical simulation based on the augmented Lagrangian algorithm to solve contacts problems is conducted in ANSYS software to investigate various preloaded sandwich bolted joints with carbon and glass laminate skins and two types of foam cores. Tested samples show a rise of the ratio of maximum shear stress to maximum principal stress when the applied preload increases considerably which improves the risk of core failure, additionally, an analytical approximation of stiffness at preload is proposed, for that, a search algorithm is used to deduce the expression of the equivalent elastic modulus of tested joint members and a distance correlation method is applied to determine the theoretical formulation of the introduced stiffness model whose accuracy is optimized through analyzing results of root mean square error (RMSE) of its mathematical approximations , the convergence of the chosen model is ensured for all tested samples except the ones having the most rigid skins with the greatest elastic modulus (209 GPa). Furthermore, the equation introduced by Zhang and Poirier concerning the tension load causing a bolted joint separation is adapted and validated with a percent error less than 13%.
{"title":"Numerical Investigation of Member Stiffness in Composite Sandwich Bolted Connections","authors":"","doi":"10.1007/s11223-023-00590-9","DOIUrl":"https://doi.org/10.1007/s11223-023-00590-9","url":null,"abstract":"<p>Member stiffness in bolted connections has been widely studied for homogenous and isotropic materials contrary to composite sandwich ones. Therefore, a numerical simulation based on the augmented Lagrangian algorithm to solve contacts problems is conducted in ANSYS software to investigate various preloaded sandwich bolted joints with carbon and glass laminate skins and two types of foam cores. Tested samples show a rise of the ratio of maximum shear stress to maximum principal stress when the applied preload increases considerably which improves the risk of core failure, additionally, an analytical approximation of stiffness at preload is proposed, for that, a search algorithm is used to deduce the expression of the equivalent elastic modulus of tested joint members and a distance correlation method is applied to determine the theoretical formulation of the introduced stiffness model whose accuracy is optimized through analyzing results of root mean square error (RMSE) of its mathematical approximations , the convergence of the chosen model is ensured for all tested samples except the ones having the most rigid skins with the greatest elastic modulus (209 GPa). Furthermore, the equation introduced by Zhang and Poirier concerning the tension load causing a bolted joint separation is adapted and validated with a percent error less than 13%.</p>","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139020495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-22DOI: 10.1007/s11223-023-00594-5
M. Y. Abdellah
{"title":"An Asymptotic Analysis of Methods for Predicting the Fracture Toughness of Multiaxial Carbon Fiber Composite Laminates Using the Elastic Constants of the 0° Plies","authors":"M. Y. Abdellah","doi":"10.1007/s11223-023-00594-5","DOIUrl":"https://doi.org/10.1007/s11223-023-00594-5","url":null,"abstract":"","PeriodicalId":22007,"journal":{"name":"Strength of Materials","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138943938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-21DOI: 10.1007/s11223-023-00578-5
E. O. Onyshchenko, V. V. Matveev, O. L. Derkach, O. E. Bohinich
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