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This work aims to describe a mathematical model and a numerical method to simulate a thin anisotropic composite membrane moving and deforming in 3D space under a dynamic load of an arbitrary time and space profile. The model and the method…

数值分析 · 数学 2020-07-24 Vitalii Aksenov , Alexey Vasyukov , Igor Petrov

In this paper, we introduce tensor involved peridynamics, a unified framework for simulating both isotropic and anisotropic materials. While traditional peridynamics models effectively simulate isotropic materials, they face challenges with…

材料科学 · 物理学 2024-12-23 Hao Tian , Jinlong Shao , Chenguang Liu , Shuo Liu , Xu Guo

The anisotropy of wood within the radial-tangential (RT) growth plane has a major influence on the cracking behavior perpendicular to grain. Within the scope of this work, a two-dimensional discrete element model is developed, consisting of…

材料科学 · 物理学 2007-05-23 Falk K. Wittel , Gerhard Dill-Langer , Bernd-H. Kroeplin

In the phase-field modeling of brittle fracture, anisotropic constitutive assumptions for the degradation of stored elastic energy due to fracture are crucial to preventing cracking in compression and obtaining physically sound numerical…

数值分析 · 数学 2018-05-22 Fei Zhang , Weizhang Huang , Xianping Li , Shicheng Zhang

We propose a decomposition of constitutive relations into crack-driving and persistent portions, specifically designed for materials with anisotropic/orthotropic behavior in the phase field approach to fracture to account for the…

数值分析 · 数学 2022-12-28 Vahid Ziaei-Rad , Mostafa Mollaali , Thomas Nagel , Olaf Kolditz , Keita Yoshioka

In this article we propose a discrete lattice model to simulate the elastic, plastic and failure behaviour of isotropic materials. Focus is given on the mathematical derivation of the lattice elements, nodes and edges, in the presence of…

最优化与控制 · 数学 2015-05-12 Ioannis Dassios , Andrey Jivkov , Andrew Abu-Muharib , Peter James

Modern inelastic material model formulations rely on the use of tensor-valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the…

计算工程、金融与科学 · 计算机科学 2024-08-13 Tim van der Velden , Tim Brepols , Stefanie Reese , Hagen Holthusen

We propose a novel variational phase-field model for fracture in anisotropic materials. The model is specifically designed to allow a more flexible calibration of crack nucleation than existing anisotropic fracture formulations, while…

A two-dimensional fracture model where the interaction among elements is modeled by an anisotropic stress-transfer function is presented. The influence of anisotropy on the macroscopic properties of the samples is clarified, by…

统计力学 · 物理学 2008-02-22 R. C. Hidalgo , S. Zapperi , H. J. Herrmann

Dual-continuum (DC) models can be tractable alternatives to explicit approaches for the numerical modelling of multiscale materials with multiphysics behaviours. This work concerns the conceptual and numerical modelling of poroelastically…

地球物理 · 物理学 2020-12-02 Mark Ashworth , Florian Doster

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

软凝聚态物质 · 物理学 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the model are the elastic stiffness constants of the material…

材料科学 · 物理学 2007-05-23 A. Carpio , L. L. Bonilla

In this paper, we present an experimental study on plastic deformation and damage of polycrystalline pure Ti, as well as modeling of the observed behavior. From the mechanical characterization data, it can be concluded that the material…

材料科学 · 物理学 2016-02-17 Benoit Revil-Baudard , Oana Cazacu , Philip Flater , Nitin Chandola , J. L. Alves

In this paper we derive a new two-dimensional brittle fracture model for thin shells via dimension reduction, where the admissible displacements are only normal to the shell surface. The main steps include to endow the shell with a small…

数值分析 · 数学 2020-04-21 Stefano Almi , Sandro Belz , Stefano Micheletti , Simona Perotto

In Part I of this paper we have presented a simple model capable of describing the localized failure of a massive structure. In this part, we discuss the identification of the model parameters from two kinds of experiments: a uniaxial…

神经与进化计算 · 计算机科学 2009-06-08 A. Kucerova , D. Brancherie , A. Ibrahimbegovic , J. Zeman , Z. Bittnar

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

软凝聚态物质 · 物理学 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting fragments during the breakup process. For two dimensional…

统计力学 · 物理学 2009-11-11 F. P. M. dos Santos , R. Donangelo , S. R. Souza

This paper establishes a universal framework for the nonlocal modeling of anisotropic damage at finite strains. By the combination of two recent works, the new framework allows for the flexible incorporation of different established…

计算工程、金融与科学 · 计算机科学 2025-05-16 Tim van der Velden , Stefanie Reese , Hagen Holthusen , Tim Brepols

We consider inverse problems estimating distributed parameters from indirect noisy observations through discretization of continuum models described by partial differential or integral equations. It is well understood that the errors…

数值分析 · 数学 2023-10-09 Albero Bocchinfuso , Daniela Calvetti , Erkki Somersalo

We consider an alternative way of obtaining the effective elastic properties of a cracked medium. Similarly, to the popular linear-slip model, we assume flat, parallel fractures, and long wavelengths. However, we do not treat fractures as…

地球物理 · 物理学 2021-09-01 Filip P. Adamus
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