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Nonlinear plastic modes (NPMs) are collective displacements that are indicative of imminent plastic instabilities in elastic solids. In this work we formulate the atomistic theory that describes the reversible evolution of NPMs and their…

Soft Condensed Matter · Physics 2016-06-22 Edan Lerner

In the present paper a plastic-damage model for concrete is discussed. Based on the fact that for isotropic materials the elastic trial stress and the projected plastic stress states have the same eigenvec-tors, the loading surface is…

Materials Science · Physics 2007-05-23 Sergey Ananiev , Josko Ozbolt

Biological soft tissues exhibit substantial inter-subject variability, making the automation of constitutive material modeling essential for patient-specific analysis and design. Such materials are not only highly nonlinear but also display…

Computational Physics · Physics 2026-04-16 Bahador Bahmani

A new hyperelastic membrane material model is proposed for single layer blue phosphorus ($\beta\text{-P}$), also known as blue phosphorene. The model is fully nonlinear and captures the anisotropy of $\beta\text{-P}$ at large strains. The…

Materials Science · Physics 2019-02-15 Reza Ghaffari , Farzad Shirazian , Ming Hu , Roger A. Sauer

Modeling important engineering problems related to flow-induced damage (in the context of hydraulic fracturing among others) depends critically on characterizing the interaction of porous media and interstitial fluid flow. This work…

Numerical Analysis · Mathematics 2012-06-27 Daniel Z. Turner

Important physical observations in rupture dynamics such as static fault friction, short-slip, self-healing, and supershear phenomenon in cracks are studied. A continuum model of rupture dynamics is developed using the field dislocation…

Materials Science · Physics 2023-12-18 Abhishek Arora , Amit Acharya

A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane…

Analysis of PDEs · Mathematics 2020-07-21 Robert P. Lipton , Prashant K. Jha

A novel regularized fracture model for crack propagation in porous media is proposed. Our model is obtained through homogenization theory and formal asymptotic expansions. We start with a regularized quasi-static fracture model posed in a…

Analysis of PDEs · Mathematics 2021-10-07 J. Galvis , H. M. Versieux

We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface and substrate surface are represented by an evolving and a…

Numerical Analysis · Mathematics 2024-10-02 Weizhu Bao , Yifei Li , Quan Zhao

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

Materials Science · Physics 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

Simulation modeling of robots, objects, and environments is the backbone for all model-based control and learning. It is leveraged broadly across dynamic programming and model-predictive control, as well as data generation for imitation,…

Robotics · Computer Science 2022-01-19 Fei Liu , Mingen Li , Jingpei Lu , Entong Su , Michael C. Yip

The mechanical behavior of porous materials depends strongly on porosity and pore geometry, but also on morphological parameters characterizing the spatial arrangement of pores. Here we use bond-based peridynamics to study effects of…

Materials Science · Physics 2023-05-17 Jonas Ritter , Shucheta Shegufta , Michael Zaiser

We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more…

Numerical Analysis · Mathematics 2021-09-08 A. Stanic , B. Brank , A. Ibrahimbegovic , H. G. Matthies

Natural hyperbolic materials have attracted significant interest in the field of photonics due to their unique optical properties. Based on the initial successful explorations on layered crystalline materials, hyperbolic dispersion was…

Optics · Physics 2025-11-25 Qi-Dong Hao , Hao Wang , Hong-Xing Song , Xiang-Rong Chen , Hua Y. Geng

We explore the influence of density fluctuations on isotropic and anisotropic configurations, extending the concept of cracking for general relativistic fluid spheres. This concept, conceived to describe the behaviour of anisotropic matter…

General Relativity and Quantum Cosmology · Physics 2016-11-16 Guillermo A. Gonzalez , Anamaria Navarro , Luis A. Nunez

We develop a novel constitutive modeling approach for the analysis of fracture propagation in quasi-brittle materials using the Material Point Method. The kinematics of constitutive models is enriched with an additional mode of localized…

Computational Physics · Physics 2014-06-06 Giang Dinh Nguyen

A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos

Periporomechanmics is a strong nonlocal framework for modeling the mechanics and physics of variably saturated porous media with evolving discontinuities. In periporomechanics, the horizon serves as a mathematical nonlocal parameter that…

Numerical Analysis · Mathematics 2023-07-03 Xiaoyu Song , Hossein Pashazad

Atomistic simulations are performed to probe the anisotropic deformation in the compressions of face-centred-cubic metallic nanoparticles. In the elastic regime, the compressive load-depth behaviors can be characterized by the classical…

Materials Science · Physics 2018-10-29 Jianjun Bian , Hao Zhang , Xinrui Niu , Gangfeng Wang

The thermo-hydro-mechanical of unsaturated soils plays a significant role in dynamic shear banding and fracturing. In this article, we propose a thermo-hydro-mechanical material model in the periporomechanics paradigm to model shear banding…

Numerical Analysis · Mathematics 2024-03-28 Hessein Pashazad , Xiayou Song