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相关论文: Crack-tip field characterization in nonlinearly co…

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In this paper, we extend the recently proposed extended scaled boundary finite element method (xSBFEM)~\cite{natarajansong2013} to study fracture parameters of interfacial cracks and cracks terminating at the interface. The approach is also…

数值分析 · 数学 2014-07-14 Sundararajan Natarajan , Chongmin Song , Salim Belouettar

The mechanical, structural and functional properties of crystals are determined by their defects and the distribution of stresses surrounding these defects has broad implications for the understanding of transport phenomena. When the defect…

材料科学 · 物理学 2016-09-02 Neil Y. C. Lin , Matthew Bierbaum , Peter Schall , James P. Sethna , Itai Cohen

This paper presents a computational framework for quasi-static brittle fracture in three dimensional solids. The paper set outs the theoretical basis for determining the initiation and direction of propagating cracks based on the concept of…

计算物理 · 物理学 2013-12-02 Lukasz Kaczmarczyk , Mohaddeseh Mousavi Nezhad , Chris Pearce

In this paper we are concerned with the problem of a crack lying at the interface between dissimilar materials with microstructure undergoing antiplane deformations. The micropolar behaviour of the materials is described by the theory of…

数学物理 · 物理学 2011-04-05 Andrea Piccolroaz , Gennady Mishuris , Enrico Radi

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…

We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental…

软凝聚态物质 · 物理学 2018-10-04 Yipin Su , Bin Wu , Weiqiu Chen , Michel Destrade

We present a field formulation for defects that draws from the classical representation of the cores as force dipoles. We write these dipoles as singular distributions. Exploiting the key insight that the variational setting is the only…

材料科学 · 物理学 2016-06-02 Zhenlin Wang , Shiva Rudraraju , Krishna Garikipati

A high-fidelity neural network-based force field, NN-F$^{3}$, is developed to cover the strain states up to material failure and the non-equilibrium, intermediate nature of fracture. Simulations of fracture in 2D crystals using NN-F$^{3}$…

材料科学 · 物理学 2024-07-23 Pengjie Shi , Shizhe Feng , Zhiping Xu

Compression-induced buckling instability of metal thin films on a compliant base result in surface wrinkles. A stiff thin film, perfectly bonded to an infinitely deep pre-stretched dielectric elastomer (DE) substrate, is considered. Linear…

计算物理 · 物理学 2021-08-24 Abhishek Ghosh

Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a…

The formulation of a new prism finite element is presented for the nonlinear analysis of solid shells subject to large strains and large displacements. The element is based on hierarchical, heterogeneous, and anisotropic shape functions. As…

数值分析 · 数学 2020-10-20 Lukasz Kaczmarczyk , Hoang Nguyen , Zahur Ullah , Mebratu Wakeni , Chris Pearce

Predicting crack trajectories in brittle solids remains an open challenge in fracture mechanics due to the non-local nature of crack propagation and the way cracks modify their surrounding medium. Here, we develop a framework for…

软凝聚态物质 · 物理学 2025-02-25 Oran Szachter , Emmanuel Siefert , Mokhtar Adda-Bedia , Eran Sharon , Michael Moshe

We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results…

偏微分方程分析 · 数学 2020-12-30 David Melching , Michael Neunteufel , Joachim Schöberl , Ulisse Stefanelli

The stress field at the tip of a crack of a thin plate of elastic material that is broken due to a mode III shear tearing has a universal form with a non-universal amplitude, known as the stress intensity factor, which depends on the crack…

材料科学 · 物理学 2015-05-20 Yossi Cohen , Itamar Procaccia

A discrete-to-continuum analysis for free-boundary problems related to crystalline films deposited on substrates is performed by $\Gamma$-convergence. The discrete model here introduced is characterized by an energy with two contributions,…

偏微分方程分析 · 数学 2019-02-19 Leonard Kreutz , Paolo Piovano

The developed computational approach is capable of initiating and propagating cracks inside materials and along material interfaces of general multi-domain structures under quasi-static conditions. Special attention is paid to particular…

计算工程、金融与科学 · 计算机科学 2023-08-23 Roman Vodička

Under compressive creep, visco-plastic solids experiencing internal mass transfer processes have been recently proposed to accommodate singular cnoidal wave solutions, as material instabilities at the stationary wave limit. These…

计算物理 · 物理学 2020-08-05 Roberto J. Cier , Thomas Poulet , Sergio Rojas , Victor M. Calo , Manolis Veveakis

We introduce a model of fracture which includes the out-of-plane degrees of freedom necessary to describe buckling in a thin-sheet material. The model is a regular square lattice of elastic beams, rigidly connected at the nodes so as to…

软凝聚态物质 · 物理学 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks…

材料科学 · 物理学 2007-05-23 Petr Lazar , Raimund Podloucky , Walter Wolf

Due to its computational robustness and versatility, the phase field fracture model has become the preferred tool for predicting a wide range of cracking phenomena. However, in its conventional form, its intrinsic tension-compression…

材料科学 · 物理学 2022-08-23 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda