Article
Materials Science, Multidisciplinary
Sandipan Paul, Alan D. Freed
Summary: In this study, a constitutive model for elastic-plastic materials is developed using scalar, conjugate, stress-strain, base pairs in a finite deformation setting. The alternative QR decomposition of the deformation gradient allows for direct measurement of Laplace stretch and its plastic contributions. This model has implications for the construction of constitutive models for a wider class of materials.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Chemistry, Physical
Wangyang Zhang, Jian Chen, Chenglong Wang, Di Liu, Linbo Zhu
Summary: This paper investigates the flattening contact behavior of an elastic-perfectly plastic hemisphere pressed by a rigid plane using the finite element method. The study compares and analyzes the behavior influenced by different elastic moduli, Poisson's ratios, and yield strengths in a wide range of interference values. The study proposes a new elastic-plastic constitutive model to predict the contact area and load in the elastic-plastic range and verifies its rationality compared to previous models and experiments.
Article
Mechanics
Sandipan Paul, Alan D. Freed, Laszlo Szabo
Summary: In this paper, the Eshelby energy-momentum tensor is studied using QR kinematics, which is obtained by upper-triangular decomposition of the deformation gradient. The paper introduces the relationship between driving force attributes and dissipative strain attributes, and proposes a method for constitutive formulation. Furthermore, a classical plasticity model is derived to illustrate the role of driving force attributes.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Engineering, Mechanical
C. Santus, T. Grossi, L. Romanelli, M. Pedranz, M. Benedetti
Summary: The study proposes an optimization method based on fitting the global properties of the cyclic curves to experimental data to determine the stress-strain behavior of materials under multiaxial cyclic loadings. The method provides an accurate description of the material behavior at a low computational cost. Experimental tests on various materials demonstrate the effectiveness of the proposed method.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Engineering, Mechanical
Tongming Qu, Shaocheng Di, Y. T. Feng, Min Wang, Tingting Zhao
Summary: This study presents an alternative analytical paradigm by developing micromechanics-informed machine-learning based constitutive modelling approaches for granular materials. Three different training strategies are explored based on priori micromechanical knowledge.
INTERNATIONAL JOURNAL OF PLASTICITY
(2021)
Article
Computer Science, Interdisciplinary Applications
L. Borkowski, C. Sorini, A. Chattopadhyay
Summary: The RNN-based model is developed to predict nonlinear plastic response under multiaxial loading, utilizing a novel approach to enforce physical conditions and maintain accuracy, efficiency, and widespread applicability in various fields such as metal forming and part life prediction.
COMPUTERS & STRUCTURES
(2022)
Article
Engineering, Mechanical
Benjamin C. Cameron, C. Cem Tasan
Summary: This article presents a system of partial differential equations (PDEs) to calculate the full-field stress from an observed kinematic field when the flow rule governing the plastic deformation is unknown. These equations generalize previously proposed equations that assume pure plastic behavior without elasticity. A method to numerically solve these equations is also presented.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Multidisciplinary Sciences
Michael Berhanu, Simon Merminod, Gustavo Castillo, Eric Falcon
Summary: This study investigates fluid-like and crystal-like states in a driven granular material. The findings reveal collective excitations characterized by dispersion relations, analogous to phonons in condensed matter, propagate in the system. When the magnetic coupling is weak, the waves are longitudinal, while both longitudinal and transverse waves propagate when the coupling is stronger, similar to solid-like phases.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Chemistry, Physical
Zahraa Kansoun, Hicham Chaouki, Donald Picard, Julien Lauzon-Gauthier, Houshang Alamdari, Mario Fafard
Summary: This study experimentally investigated the mechanical behavior of carbon paste used in the aluminum industry under different loading conditions, highlighting aspects such as the effect of strain rate and frequency on paste behavior. The results provide important insights for the development of reliable rheological models for numerical simulations of carbon paste forming processes.
Article
Construction & Building Technology
Kang Liang, Kunpeng Gao, Wenqing Cai
Summary: In this study, the characteristics of the substrate effect in the nanoindentation (NI) experiment of hybrid materials such as rock or cement were investigated using real NI experiments and numerical simulations. The results showed significant differences between the NI experiment results of the coating/substrate model and the hybrid material. The lateral boundary stiffness and discontinuous face were identified as the main factors contributing to this difference, and their effects were analyzed. The relationship between the substrate properties and the NI experiment results was also discussed.
ADVANCES IN CIVIL ENGINEERING
(2022)
Article
Construction & Building Technology
Wei Wang, Chenchen Zhang, Zeshen Li, Xuehong Gan
Summary: This study investigates the cyclic plastic behavior of a T-stub connection using two different constitutive models, calibrating the models with material tests to achieve good agreement between simulation and experimental results, especially when cumulative plastic deformation is small.
ADVANCES IN CIVIL ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
X. Tang, J. Yang
Summary: This study presents a novel grain-scale model to investigate the effect of particle morphology on elastic wave propagation in granular materials. The results show that increasing particle aspect ratio leads to a notable rise in elastic wave velocity, while increased particle blockiness causes a moderate reduction in velocity. Furthermore, particles with higher aspect ratio have a broader range of transmitted frequencies compared to those with greater blockiness.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Physics, Multidisciplinary
Stefan Luding
Summary: Soft granular materials exhibit different responses to externally applied deformations at different strain rates and system sizes. At moderate strain rates, the material evolves smoothly, while at slow strain rates, it toggles between an elastic reversible state and plastic dynamic events, causing irreversible rearrangement of the microstructure.
FRONTIERS IN PHYSICS
(2023)
Article
Engineering, Civil
Pingxin Xia, Wen Deng, Longtan Shao, Xiong Zhang
Summary: This study proposes a new concept of elastic upper limit of quasi-elasticity extension and investigates three types of sand through three-stage slow cyclic triaxial tests. The results show that the quasi-elastic curve extends until it reaches the elastic upper limit and then deviates. It is found that the derived elastic upper limit is close to the plastic shakedown limit, especially at high levels of confining pressure. A new criterion is proposed to determine the plastic shakedown limit based on the linear dependence of the degree of elasticity on the cyclic stress level. The introduction of the concept of elastic upper limit provides new insights into shakedown study for granular soils.
TRANSPORTATION GEOTECHNICS
(2022)
Article
Engineering, Geological
E. C. Bryant, K. C. Bennett, N. A. Miller, A. Misra
Summary: This paper proposes a general framework for deriving nonlinear elastic and elastoplastic material models from granular micromechanics. The framework introduces a constraint-based variational structure to classical grain contact-based homogenization methods of hyperelasticity. The framework defines closed-form hyperelastoplastic material models that extend multiscale variational methods to granular plasticity. The proposed framework is used to develop macroscopic models for different types of materials. Numerical examples and comparison to experimental measurements are provided to validate the models.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2022)