Article
Materials Science, Multidisciplinary
Salma Barboura, Jia Li, Patrick Franciosi
Summary: This paper proposes a simple modeling approach to estimate the elastic-plastic behavior of two-phase isotropic composites made of interpenetrated co-continuous phases. The nonlinear modeling is an extension of a previous explicit Laminate System (LS) scheme for linear elastic behavior of such composites. By considering monotonic radial loadings, the effective nonlinear stiffness of the composites is estimated through stepwise linearization of the overall and phase behaviors using a classical secant linearization procedure. The proposed modeling is verified through comparisons with experimental data and other analytical homogenization estimate schemes.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Aerospace
Junhao Liang, Xinhai He, Wenlong Tian
Summary: This paper introduces an MT-DI homogenization model with the secant formulation for predicting the Elasto-Plastic Behaviors (EPBs) of aligned inclusions reinforced composites. The model is validated to provide more accurate predictions with 2nd-order secant formulation, while the predictions may vary between those of MT and DI models with the secant formulation. However, the model has limitations in predicting the accurate EPBs for the phases of the composites.
CHINESE JOURNAL OF AERONAUTICS
(2021)
Article
Mechanics
Jiyoung Jung, Youngsoo Kim, Sangryun Lee, Issam Doghri, Seunghwa Ryu
Summary: We proposed an adaptive incrementally affine method for predicting the mechanical response of particle-reinforced composites under complex loading conditions. By adjusting the mean strain of each constituent, the method can better predict the occurrence of plastic deformation and is in good agreement with numerical simulation results.
COMPOSITE STRUCTURES
(2022)
Article
Mathematics, Applied
Avram Sidi
Summary: The secant method is an effective numerical procedure for solving nonlinear equations, and a generalization of it was presented which uses only one evaluation of f(x) per iteration. The method generates a sequence of approximations to a real root of f(x) with an order between 1 and 2.
Article
Mechanics
Wei Rao, Chao Yu, Juan Zhang, Guozheng Kang
Summary: A new incremental secant linearization method is developed to predict the stress-strain responses of elasto-viscoplastic microscopic heterogeneous materials, and the results are compared with other methods, showing that the new method plays an important role in accurate simulations.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Aerospace
Haoyang Feng, Xiaokui Yue, Xuechuan Wang
Summary: A novel Quasi-linear Local Variational Iteration Method (QLVIM) is proposed for solving two-point boundary value problems (TPBVPs) of strongly nonlinear systems. By combining quasi-linearization with Local Variational Iteration Method (LVIM), the QLVIM can efficiently and accurately solve various orbit transfer problems in aerospace engineering. The method demonstrates high convergence speed, low computation cost, and longer solvable time span compared to other methods.
AEROSPACE SCIENCE AND TECHNOLOGY
(2021)
Article
Mechanics
Alfredo Castrogiovanni, Sonia Marfia, Ferdinando Auricchio, Elio Sacco
Summary: This paper presents two reduced order homogenization techniques for studying the response of nonlinear composite materials. The first approach is based on Transformation Field Analysis, while the second approach is derived from Hashin-Shtrikman variational principle. Numerical procedures are implemented to derive the nonlinear response of composites with plastic constituents, evaluating the effectiveness of the two models and investigating their differences and similarities.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Juan Manuel Calleja Vazquez, Ling Wu, Van-Dung Nguyen, Ludovic Noels
Summary: This article introduces a pressure-dependent-based incremental-secant mean-field homogenization scheme for two-phase composites, and verifies its prediction capabilities. The scheme has natural isotropicity and accurately represents the physics of real polymeric composites.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Mechanics
Nagham Mawassy, Hilal Reda, Jean-Francois Ganghoffer, Hassan Lakiss
Summary: This study computes the effective flexoelectric properties of heterogeneous piezoelectric materials using extended Hill macro-homogeneity condition and considering higher gradient effects. The obtained homogenized properties are utilized for analyzing the wave propagation attributes of piezoelectric composites and investigating the dispersion relations of flexoelectric media.
COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Amit Acharya
Summary: An action functional is developed for nonlinear dislocation dynamics, aiming to use effective field theory to describe the macroscopic behavior of plasticity in crystalline solids. This work reveals connections between continuum mechanics, material science of defects in solids, effective field theory techniques in physics, and fracton tensor gauge theories.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Materials Science, Multidisciplinary
Bingtao Tang, Qianchi Li, Qingfeng Wang, Ning Guo, Xiangbin Meng, Yanbin Shi, Hangqi Su, Liyuan Lin
Summary: A modified Weng's secant method is presented in this paper to model the elastoplastic stress-strain response of tailor-tempered 22MnB5 steel with heterogeneous material properties when subjected to plastic deformation. The exponential function is used to modify the secant model, allowing for accurate prediction of the interaction and hardness difference between different constituent phases.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Engineering, Mechanical
Armin Tabandeh, Paolo Gardoni
Summary: This study proposes a hybrid method that approximates the governing SDE of nonlinear systems using a small number of response simulations and information available a priori to estimate their response probability distribution. A Bayesian nonparametric approach is employed to capture uncertainties, allowing the number of surrogate linear systems to grow indefinitely to capture new patterns. The quantified uncertainty in the estimates of unknown model parameters propagates into the response probability distribution, and the study shows that the estimated probability distribution can approach the original nonlinear system's response probability distribution under certain conditions.
PROBABILISTIC ENGINEERING MECHANICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Avisek Mukherjee, Soumyadipta Sarkar, Arnab Banerjee
Summary: The paper introduces two numerical methods to improve the efficiency and accuracy of solving nonlinear eigenvalue problems using the spectral element method. These methods provide stable solutions even in the presence of singularities and are validated by comparing with solutions from finite element analysis.
COMPUTERS & STRUCTURES
(2021)
Article
Mathematics, Interdisciplinary Applications
Yuxi Xie, Shaofan Li
Summary: The study introduces a stress-driven homogenization procedure for computing overall effective material properties of elastic composites with locally heterogeneous micro-structures. A novel incremental variational formulation has been developed, and the proposed stress-driven computational homogenization procedure has been implemented with the finite element method to offer lower bound estimates for the materials properties.
COMPUTATIONAL MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Chang-Ock Lee, Jongho Park
Summary: The study introduces a novel dual-primal finite element tearing and interconnecting method for solving nonlinear variational inequalities. The method is based on a specific Fenchel-Rockafellar dual formulation, which addresses linear local problems for increased efficiency, and proves linear convergence.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
M. Bornert, P. Doumalin, J. -C. Dupre, C. Poilane, L. Robert, E. Toussaint, B. Wattrisse
EXPERIMENTAL MECHANICS
(2018)
Article
Engineering, Geological
Agustin Molinero Guerra, Yu-Jun Cui, Nadia Mokni, Pierre Delage, Michel Bornert, Patrick Aimedieu, Anh Minh Tang, Frederic Bernier
ENGINEERING GEOLOGY
(2018)
Article
Mechanics
S. Deboeuf, N. Lenoir, D. Hautemayou, M. Bornert, F. Blanc, G. Ovarlez
JOURNAL OF RHEOLOGY
(2018)
Article
Materials Science, Characterization & Testing
C. Chateau, T. T. Nguyen, M. Bornert, J. Yvonnet
Article
Chemistry, Physical
Agustin Molinero Guerra, Patrick Aimedieu, Michel Bornert, Yu-Jun Cui, Anh Minh Tang, Zhao Sun, Nadia Mokni, Pierre Delage, Frederic Bernier
APPLIED CLAY SCIENCE
(2018)
Article
Mechanics
Antoine Lucchetta, Francois Auslender, Michel Bornert, Djimedo Kondo
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2019)
Article
Engineering, Geological
Agustin Molinero Guerra, Yu-Jun Cui, Yong He, Pierre Delage, Nadia Mokni, Anh Minh Tang, Patrick Aimedieu, Michel Bornert, Frederic Bernier
ENGINEERING GEOLOGY
(2019)
Article
Mechanics
Yang Chen, Lionel Gelebart, Camille Chateau, Michel Bornert, Cedric Sauder, Andrew King
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2019)
Article
Engineering, Multidisciplinary
Darith-Anthony Hun, Johann Guilleminot, Julien Yvonnet, Michel Bornert
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2019)
Article
Engineering, Geological
Thi Xiu Le, Patrick Aimedieu, Michel Bornert, Baptiste Chabot, Stephane Rodts, Anh Minh Tang
SOILS AND FOUNDATIONS
(2019)
Article
Chemistry, Physical
Sarra Mezhoud, Benjamin Le Droumaguet, Patrick Aimedieu, Vincent Monchiet, Michel Bornert, Daniel Grande
Summary: Doubly porous polymeric materials were prepared using a double porogen templating approach with 2-hydroxyethyl methacrylate (HEMA). The use of different sizes of sieved NaCl particles and isopropanol as porogenic solvent was crucial to the preparation process. Results showed that SPS-mediated sintering of macroparticles resulted in higher porosity ratios and specific surface areas compared to non-sintered particles, highlighting the importance of macroporogen packing. Further imaging analysis confirmed these findings, while the size of macroporogens also played a significant role in determining the porosity features. Swelling behavior of the materials was also studied, revealing high water uptake in materials with interconnected higher porosity levels.
COLLOID AND POLYMER SCIENCE
(2021)
Article
Mechanics
Nhat-Tung Phan, Francois Auslender, Joseph Gril, Rostand Moutou Pitti
Summary: This study analyzes the influence of fibril oscillations and connections on the effective hygro-elastic behavior of the wood cell wall, using two different microstructure models and numerical computations, showing significant effects on the effective moduli of the cell wall.
Article
Chemistry, Multidisciplinary
Xavier Regal, Gwendal Cumunel, Michel Bornert, Marc Quiertant
Summary: In this study, the free vibration of a beam triggered by a shock is investigated using a high-speed camera and digital image correlation. The beam displacement fields are deduced from the images and the modal parameters are computed using a continuous wavelet transform method. The results obtained with this method are compared with those obtained using accelerometers and the beam theory.
APPLIED SCIENCES-BASEL
(2023)
Proceedings Paper
Engineering, Electrical & Electronic
M. Bornert, P. Doumalin, J. -C. Dupre, C. Poilane, L. Robert, E. Toussaint, B. Wattrisse
INTERNATIONAL DIGITAL IMAGING CORRELATION SOCIETY
(2017)
Article
Materials Science, Multidisciplinary
Baihong Chen, Changyue Liu, Zengting Xu, Zhijian Wang, Rui Xiao
Summary: In this study, both polydomain and monodomain liquid crystal elastomers (LCEs) were synthesized and their shape change with temperature under a certain stress level was characterized. A thermo-order-mechanical coupling model was developed to predict the shape change of LCEs, showing good consistency with experimental results.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Peng Wang, Fei Xu, Yiding Wang, Jun Song, Cheng Chen
Summary: This study investigates the interplay of super-screw dislocations and coherent twin boundary (CTB) in Ni3Al using molecular dynamics simulations and dislocation continuum theory. Various interaction mechanisms are observed depending on the stress and dislocation gliding pathways. A continuum model framework is developed to evaluate the critical shear stress required for CTB to accommodate dislocations along different pathways, considering the effects of anti-phase boundary (APB) and Complex Stacking Fault (CSF). The study suggests that the resistant force of CTB against all gliding dislocations is a more appropriate metric for quantifying its strength.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Chenyu Du, Haitao Cui, Hongjian Zhang, Zhibin Cai, Weikuo Zhai
Summary: A thermal-elastoplastic phase field model was developed to simulate thermal fatigue crack growth. The accuracy and availability of the model were verified through typical examples. The results indicate that the proposed model effectively simulates the process of thermal fatigue crack propagation in elastoplastic solids. The appropriate regularization length needs to be determined based on experimental results.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
J. Carlsson, A. Kuswoyo, A. Shaikeea, N. A. Fleck
Summary: The sensitivity of the compressive strength of a polymeric Kelvin lattice to the presence of an epoxy core is investigated both experimentally and numerically. The study shows that the epoxy core prevents the formation of crush bands in the lattice and changes its deformation mode. At finite strain, the strength of the lattice is degraded by bending failure and cracking of the struts and adjacent core, leading to the formation of vertical fissures.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Saptarshi Paul, Anurag Gupta
Summary: In this study, we investigate the geometry and mechanics of the buckled orthotropic von Karman elastic plate with free boundary condition, in the presence of an isolated positive or negative disclination. The shape of the buckled plate is cone-like for a positive disclination and saddle-like for a negative disclination. With increasing orthotropy, the shape of the buckled plate becomes more tent-like and the Gaussian curvature spreads along the ridge of the tent. The stress fields are focused in the neighborhood of the defect point and the ridge, indicating that most of the stretching energy is accommodated in these singular regions.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Antu Acharya, Vikram Muthkani, Anirvan DasGupta, Atul Jain
Summary: This study proposes filler-based and infill-based strategies for creating auxetic lattices with enhanced stiffness. The elastic properties of the sinusoidal re-entrant honeycomb lattice are developed and validated using finite element models. Parametric studies are conducted to find combinations leading to enhanced stiffness with minor loss in auxeticity. The results demonstrate the possibility of achieving a significant increment in stiffness while retaining significant auxeticity. The proposed approaches outperform existing approaches in terms of stiffness and auxeticity.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Biswajit Pal, Ananth Ramaswamy
Summary: This study presents a multi-scale approach to simulate the shrinkage and creep of concrete, addressing the limitations of existing macroscopic prediction models due to the heterogeneous nature of concrete. The model is validated with experimental data and compared to national codes and macroscopic models, demonstrating its effectiveness in overcoming the gaps in existing models.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Akash Kumar Behera, Mohammad Masiur Rahaman, Debasish Roy
Summary: Ceramics have attractive properties but low fracture toughness is a major drawback. There is interest in improving the mechanical performance of ceramics by tailoring residual stresses. However, there is a lack of computational models that can accurately predict crack paths and quantify the improved fracture toughness.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Bineet Kumar, Sandeep Kumar Dubey, Sonalisa Ray
Summary: This study aims to develop an energy-based theoretical formulation for predicting the evolution of the fracture process zone in concrete under fatigue loading. Experimental results and calibrations indicate that the specimen size and aggregate size affect the fracture behavior and process zone length of concrete.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Zheliang Wang, Hao Sheng, Xinyi Lin, Yifan Rao, Jia Liu, Nanshu Lu
Summary: In this study, an analytical framework is proposed for investigating the behavior of laminated beams with any number of layers under various bending conditions, and the theory is validated through finite element analysis. It was found that the number of layers, applied deformation, layer properties, and layer aspect ratio have an impact on the equivalent flexural rigidity.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Michael Schwaighofer, Markus Konigsberger, Luis Zelaya-Lainez, Markus Lukacevic, Sebastian Serna-Loaiza, Michael Harasek, Florian Zikeli, Anton Friedl, Josef Fussl
Summary: In this study, nanoindentation relaxation tests were re-evaluated on five industrial lignins extracted from different feedstocks. It was found that the viscoelastic properties of all tested lignins were practically identical and independent of the feedstock and the extraction processes.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Tian Han, Dandan Qi, Jia Ma, Chaoyang Sun
Summary: In this study, a generative design method was used to propose new modified lattice structures suitable for tensile and compressive loading conditions. By conducting experimental and finite element analyses, it was confirmed that the derived structures have improved load-bearing capacity and energy absorption compared to the original structures. The effects of shape parameters on mechanical properties were also discussed.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Wenbin Zheng, Jay Airao, Ramin Aghababaei
Summary: Spinodal decomposition of Ti1-xAlxN crystal structure significantly affects their physical properties. This study uses three-dimensional molecular dynamics simulations to investigate the phase transformation mechanism and surface finish during material removal in TiAlN. The simulations reveal that the aluminum content and cutting depth have a significant influence on the phase transformation process through spinodal decomposition.
MECHANICS OF MATERIALS
(2024)
Article
Materials Science, Multidisciplinary
Atasi Ghosh
Summary: The micro-mechanism of low cycle fatigue deformation behavior has been summarized and the recent development in the approach of numerical simulation of cyclic stress-strain behavior of polycrystalline metallic materials at multi-scale has been discussed.
MECHANICS OF MATERIALS
(2024)