Pub Date : 2023-11-01DOI: 10.1061/jenmdt.emeng-7153
Sudipta Naskar, Biswanath Banerjee
This paper proposes an inverse eigenstrain analysis procedure to estimate full-field residual stress from an incompletely measured residual elastic strain or stress field. The inverse problem is solved by minimizing the linear elastic constitutive relation discrepancy that arises from different admissible stress and strain fields within an alternating minimization framework. First, a standard forward thermoelastic problem is solved to obtain a statically admissible total strain field. Then, full-field residual stress (or elastic strain) that satisfies partial measurement is obtained by minimizing a Hellinger-Reissner-type energy functional under a mixed variational framework. We have used standard two and three-dimensional hybrid finite elements to obtain a stress field. Finally, a full-field eigenstrain field is obtained by minimizing constitutive disparity due to dissimilar elastic strain and total strain fields. We show the efficacy of the proposed procedure with some numerically obtained and experimentally reported data.
{"title":"A Mixed Variational Framework for Eigenstrain and Residual Stress Reconstruction","authors":"Sudipta Naskar, Biswanath Banerjee","doi":"10.1061/jenmdt.emeng-7153","DOIUrl":"https://doi.org/10.1061/jenmdt.emeng-7153","url":null,"abstract":"This paper proposes an inverse eigenstrain analysis procedure to estimate full-field residual stress from an incompletely measured residual elastic strain or stress field. The inverse problem is solved by minimizing the linear elastic constitutive relation discrepancy that arises from different admissible stress and strain fields within an alternating minimization framework. First, a standard forward thermoelastic problem is solved to obtain a statically admissible total strain field. Then, full-field residual stress (or elastic strain) that satisfies partial measurement is obtained by minimizing a Hellinger-Reissner-type energy functional under a mixed variational framework. We have used standard two and three-dimensional hybrid finite elements to obtain a stress field. Finally, a full-field eigenstrain field is obtained by minimizing constitutive disparity due to dissimilar elastic strain and total strain fields. We show the efficacy of the proposed procedure with some numerically obtained and experimentally reported data.","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"93 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134957394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1061/jenmdt.emeng-6994
Yiming Fan, Marta D’Elia, Yue Yu, Habib N. Najm, Stewart Silling
We consider the problem of modeling heterogeneous materials where microscale dynamics and interactions affect global behavior. In the presence of heterogeneities in material microstructure it is often impractical, if not impossible, to provide quantitative characterization of material response. The goal of this work is to develop a Bayesian framework for uncertainty quantification (UQ) in material response prediction when using nonlocal models. Our approach combines the nonlocal operator regression (NOR) technique and Bayesian inference. Specifically, additive independent identically distributed Gaussian noise is employed to model the discrepancy between the nonlocal model and the data. Then, we use a Markov chain Monte Carlo (MCMC) method to sample the posterior probability distribution on parameters involved in the nonlocal constitutive law and associated modeling discrepancies relative to higher-fidelity computations. As an application, we consider the propagation of stress waves through a one-dimensional heterogeneous bar with randomly generated microstructure. Several numerical tests illustrate the construction, enabling UQ in nonlocal model predictions. Although nonlocal models have become popular means for homogenization, their statistical calibration with respect to high-fidelity models has not been presented before. This work is a first step in this direction, focused on Bayesian parameter calibration.
{"title":"Bayesian Nonlocal Operator Regression: A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification","authors":"Yiming Fan, Marta D’Elia, Yue Yu, Habib N. Najm, Stewart Silling","doi":"10.1061/jenmdt.emeng-6994","DOIUrl":"https://doi.org/10.1061/jenmdt.emeng-6994","url":null,"abstract":"We consider the problem of modeling heterogeneous materials where microscale dynamics and interactions affect global behavior. In the presence of heterogeneities in material microstructure it is often impractical, if not impossible, to provide quantitative characterization of material response. The goal of this work is to develop a Bayesian framework for uncertainty quantification (UQ) in material response prediction when using nonlocal models. Our approach combines the nonlocal operator regression (NOR) technique and Bayesian inference. Specifically, additive independent identically distributed Gaussian noise is employed to model the discrepancy between the nonlocal model and the data. Then, we use a Markov chain Monte Carlo (MCMC) method to sample the posterior probability distribution on parameters involved in the nonlocal constitutive law and associated modeling discrepancies relative to higher-fidelity computations. As an application, we consider the propagation of stress waves through a one-dimensional heterogeneous bar with randomly generated microstructure. Several numerical tests illustrate the construction, enabling UQ in nonlocal model predictions. Although nonlocal models have become popular means for homogenization, their statistical calibration with respect to high-fidelity models has not been presented before. This work is a first step in this direction, focused on Bayesian parameter calibration.","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135618137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-01DOI: 10.1061/jenmdt.emeng-6934
Ying Lei, Xingyu Li, Jinshan Huang, Lijun Liu
{"title":"Closure to “Simultaneous Assessment of Damage and Unknown Input for Large Structural Systems by UKF-UI”","authors":"Ying Lei, Xingyu Li, Jinshan Huang, Lijun Liu","doi":"10.1061/jenmdt.emeng-6934","DOIUrl":"https://doi.org/10.1061/jenmdt.emeng-6934","url":null,"abstract":"","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135061380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Arches are important components in nanostructures and systems. Because of the remarkable strength of nanomaterials, nanoarches are slender, thus enhancing their vulnerability to geometric instability, such as buckling. Although molecular simulations are often employed to analyze nanostructures, their use in routine analysis/design is formidable due to prohibitively exhaustive computation. Equivalent continuum models were developed as alternatives. The buckling and postcritical phenomena of the classical arch also form an important benchmark problem in nonlinear mechanics. This study investigates the buckling and the postcritical behavior of nanoarch subjected to inward pressure using nonlocal (NL), strain gradient (SG) continuum theory. The governing equations are derived in the form of a sixth-order nonlinear integrodifferential equation, unlike the fourth-order for a classical arch. The equation is then solved numerically using a differential quadrature (DQ) with appropriate boundary conditions. An incremental-iterative arc-length continuation is employed for the solution of the resulting algebraic system of equations. The equilibrium paths are traced for the possible instability modes, such as symmetric/antisymmetric bifurcations, snap-through and limit point instability, ascertained with the internal-external force diagrams. A particular instability mode is triggered at a certain threshold/range of the slenderness ratio of the arch, which is significantly influenced by the NL and SG interactions. These interactions not only cause quantitative changes in the instability behavior but also lead to qualitative changes, such as cessation, shift, and conversion of modes, more prominently for SG arches. Similar to classical arches, the prebuckling nonlinearity is shown to be significant.
{"title":"Postcritical Behavior of Nonlocal Strain Gradient Arches: Formulation and Differential Quadrature Solution","authors":"Abhilash Dhanoriya, Manjur Alam, Sudib Kumar Mishra","doi":"10.1061/jenmdt.emeng-6727","DOIUrl":"https://doi.org/10.1061/jenmdt.emeng-6727","url":null,"abstract":"Arches are important components in nanostructures and systems. Because of the remarkable strength of nanomaterials, nanoarches are slender, thus enhancing their vulnerability to geometric instability, such as buckling. Although molecular simulations are often employed to analyze nanostructures, their use in routine analysis/design is formidable due to prohibitively exhaustive computation. Equivalent continuum models were developed as alternatives. The buckling and postcritical phenomena of the classical arch also form an important benchmark problem in nonlinear mechanics. This study investigates the buckling and the postcritical behavior of nanoarch subjected to inward pressure using nonlocal (NL), strain gradient (SG) continuum theory. The governing equations are derived in the form of a sixth-order nonlinear integrodifferential equation, unlike the fourth-order for a classical arch. The equation is then solved numerically using a differential quadrature (DQ) with appropriate boundary conditions. An incremental-iterative arc-length continuation is employed for the solution of the resulting algebraic system of equations. The equilibrium paths are traced for the possible instability modes, such as symmetric/antisymmetric bifurcations, snap-through and limit point instability, ascertained with the internal-external force diagrams. A particular instability mode is triggered at a certain threshold/range of the slenderness ratio of the arch, which is significantly influenced by the NL and SG interactions. These interactions not only cause quantitative changes in the instability behavior but also lead to qualitative changes, such as cessation, shift, and conversion of modes, more prominently for SG arches. Similar to classical arches, the prebuckling nonlinearity is shown to be significant.","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135859005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-01DOI: 10.1061/jenmdt.emeng-7024
{"title":"Expression of Concern for “Discrete Fresh Concrete Model for Simulation of Ordinary, Self-Consolidating, and Printable Concrete Flow” by Elham Ramyar and Gianluca Cusatis","authors":"","doi":"10.1061/jenmdt.emeng-7024","DOIUrl":"https://doi.org/10.1061/jenmdt.emeng-7024","url":null,"abstract":"","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136097247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Filtering properties of locally resonant periodic foundations (LRPFs) have inspired an innovative direction towards the mitigation of structural vibrations. To mitigate the structure-borne vibrations from subways, this study proposes an LRPF equipped with a negative stiffness device connecting the resonator and primary structure. The proposed LRPF can exhibit a quasi-static band gap covering the ultra-low frequency range. These frequency components have the properties of strong diffraction and low attenuation and contribute the most to the incident wave fields impinging on nearby buildings. By formulating the interaction problem between the tunnel-ground and LRPF-superstructure systems, the mitigation performance of the proposed LRPF is evaluated considering the effects of soil compliance and superstructure. The performance depends on the dynamic properties of the ground, foundation, and superstructure as well as their coupling. Transmission analyses indicate that the superstructure responses can be effectively attenuated in the quasi-static band gap by adjusting the negative stiffness. Considering the coupling of the flexible ground, the peak responses of the LRPF-superstructure system occur not only at its eigenfrequencies but also at coupled resonance frequencies due to the contribution of the soil compliance. This study provides an analytical tool for mitigating the structure-borne vibrations from subways with the LRPF.
{"title":"Analytical Research on the Mitigation of Structure-Borne Vibrations from Subways Using Locally Resonant Periodic Foundations","authors":"Xu, Yifei, Cao, Zhigang, Yuan, Zonghao, Cai, Yuanqiang, Costa, Pedro Alves","doi":"10.1061/(asce)em.1943-7889.0002160","DOIUrl":"https://doi.org/10.1061/(asce)em.1943-7889.0002160","url":null,"abstract":"Filtering properties of locally resonant periodic foundations (LRPFs) have inspired an innovative direction towards the mitigation of structural vibrations. To mitigate the structure-borne vibrations from subways, this study proposes an LRPF equipped with a negative stiffness device connecting the resonator and primary structure. The proposed LRPF can exhibit a quasi-static band gap covering the ultra-low frequency range. These frequency components have the properties of strong diffraction and low attenuation and contribute the most to the incident wave fields impinging on nearby buildings. By formulating the interaction problem between the tunnel-ground and LRPF-superstructure systems, the mitigation performance of the proposed LRPF is evaluated considering the effects of soil compliance and superstructure. The performance depends on the dynamic properties of the ground, foundation, and superstructure as well as their coupling. Transmission analyses indicate that the superstructure responses can be effectively attenuated in the quasi-static band gap by adjusting the negative stiffness. Considering the coupling of the flexible ground, the peak responses of the LRPF-superstructure system occur not only at its eigenfrequencies but also at coupled resonance frequencies due to the contribution of the soil compliance. This study provides an analytical tool for mitigating the structure-borne vibrations from subways with the LRPF.","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136367729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-01DOI: 10.1061/(ASCE)EM.1943-7889.0001997
Chaofa Zhao, N. Kruyt
AbstractFor granular materials, the kinematic degrees of freedom at the microscale of particles are the particles’ displacements and rotations. In classical continuum mechanics, the kinematic degre...
摘要对于颗粒状材料，粒子在微观尺度上的运动自由度是粒子的位移和旋转。在经典连续介质力学中，运动度…
{"title":"Particle and Continuum Rotations of Granular Materials: Discrete-Element Method Simulations and Experiment","authors":"Chaofa Zhao, N. Kruyt","doi":"10.1061/(ASCE)EM.1943-7889.0001997","DOIUrl":"https://doi.org/10.1061/(ASCE)EM.1943-7889.0001997","url":null,"abstract":"AbstractFor granular materials, the kinematic degrees of freedom at the microscale of particles are the particles’ displacements and rotations. In classical continuum mechanics, the kinematic degre...","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122801374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-01DOI: 10.1061/(ASCE)EM.1943-7889.0002007
Q. Lin, Chen-Yun Sun, J. Chen
AbstractLine contact usually causes stress concentration, resulting in the wear and failure of materials and structures. The characterization of the contact phenomenon thus plays an important role ...
摘要线接触通常会引起应力集中，导致材料和结构的磨损和失效。因此，接触现象的表征起着重要的作用……
{"title":"Experimental Characterization of Frictional Line Contact by Digital Image Correlation and Inverse Method","authors":"Q. Lin, Chen-Yun Sun, J. Chen","doi":"10.1061/(ASCE)EM.1943-7889.0002007","DOIUrl":"https://doi.org/10.1061/(ASCE)EM.1943-7889.0002007","url":null,"abstract":"AbstractLine contact usually causes stress concentration, resulting in the wear and failure of materials and structures. The characterization of the contact phenomenon thus plays an important role ...","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122315314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-01DOI: 10.1061/(ASCE)EM.1943-7889.0001970
Purushottam Kumar Chaudhary, Kumar Anjneya, K. Roy
AbstractVibration-based damage detection techniques usually focus on the changes in the modal properties as a result of any structural damage. For the last three decades, varying levels of success ...
摘要基于振动的损伤检测技术通常关注结构损伤引起的模态特性变化。在过去的三十年里，不同程度的成功……
{"title":"Fundamental Mode Shape–Based Structural Damage Quantification Using Spectral Element Method","authors":"Purushottam Kumar Chaudhary, Kumar Anjneya, K. Roy","doi":"10.1061/(ASCE)EM.1943-7889.0001970","DOIUrl":"https://doi.org/10.1061/(ASCE)EM.1943-7889.0001970","url":null,"abstract":"AbstractVibration-based damage detection techniques usually focus on the changes in the modal properties as a result of any structural damage. For the last three decades, varying levels of success ...","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130377662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-01DOI: 10.1061/(ASCE)EM.1943-7889.0001987
N. Grillanda, L. Cantini, L. Barazzetti, G. Milani, S. D. Torre
AbstractIn this work, the study of a complex masonry umbrella vault located within Masegra Castle (Museum of Sondrio territory, Northern Italy) is presented. Built during the renewal of the castle ...
{"title":"Advanced Modeling of a Historical Masonry Umbrella Vault: Settlement Analysis and Crack Tracking via Adaptive NURBS Kinematic Analysis","authors":"N. Grillanda, L. Cantini, L. Barazzetti, G. Milani, S. D. Torre","doi":"10.1061/(ASCE)EM.1943-7889.0001987","DOIUrl":"https://doi.org/10.1061/(ASCE)EM.1943-7889.0001987","url":null,"abstract":"AbstractIn this work, the study of a complex masonry umbrella vault located within Masegra Castle (Museum of Sondrio territory, Northern Italy) is presented. Built during the renewal of the castle ...","PeriodicalId":299892,"journal":{"name":"Journal of Engineering Mechanics-asce","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115122222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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