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

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This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

材料科学 · 物理学 2020-08-26 Sansit Patnaik , Fabio Semperlotti

We propose an accurate and energy-stable parametric finite element method for solving the sharp-interface continuum model of solid-state dewetting in three-dimensional space. The model describes the motion of the film\slash vapor interface…

数值分析 · 数学 2023-07-04 Weizhu Bao , Quan Zhao

Crack-tip stress evaluation has always been a problem in the frame of classical elasticity theory. Peridynamics has been shown to have great advantages in dealing with crack problems. In the present study, we present a peridynamic crack-tip…

材料科学 · 物理学 2017-04-05 Xiao-Wei Jiang , Hai Wang

Ductile damage models and cohesive laws incorporate the material plasticity entailing the growth of irrecoverable deformations even after complete failure. This unrealistic growth remains concealed until the unilateral effects arising from…

计算工程、金融与科学 · 计算机科学 2023-12-04 Alireza Daneshyar , Leon Herrmann , Stefan Kollmannsberger

We present analyses of crease-formation and stability criteria for incompressible hyperelastic solids. A generic singular perturbation over a laterally compressed half-space creates a far-field eigenmode of three energy-release angular…

应用物理 · 物理学 2023-09-27 Siyuan Song , Mrityunjay Kothari , Kyung-Suk Kim

Strain and defects in crystalline materials are responsible for the distinct mechanical, electric and magnetic properties of a desired material, making their study an essential task in material characterization, fabrication and design.…

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

数值分析 · 数学 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

The elastic field around a crack opening is known to be described by continuum linearised elasticity in leading order. In this work, we explicitly develop the next term in the atomistic asymptotic expansion in the case of a Mode III crack…

偏微分方程分析 · 数学 2024-03-11 Julian Braun , Maciej Buze

Various fields such as mechanical engineering, materials science, etc., have seen a widespread use of linear elastic fracture mechanics (LEFM) at the continuum scale. LEFM is also routinely applied to the atomic scale. However, its…

材料科学 · 物理学 2022-08-25 Tarakeshwar Lakshmipathy , Paul Steinmann , Erik Bitzek

The quasistatic rate-independent damage combined with linearized plasticity with hardening at small strains is investigated. The fractional-step time discretisation is devised with the purpose to obtain a numerically efficient scheme…

数值分析 · 数学 2015-06-05 Tomáš Roubíček , Jan Valdman

The concept of topological sensitivity (TS) is extended to enable simultaneous 3D reconstruction of fractures with unknown boundary condition and characterization of their interface by way of elastic waves. Interactions between the two…

材料科学 · 物理学 2015-02-10 Fatemeh Pourahmadian , Bojan B. Guzina

We propose a computational framework, Hetero-EUCLID, for segmentation and parameter identification to characterize the full hyperelastic behavior of all constituents of a heterogeneous material. In this work, we leverage the Bayesian-EUCLID…

计算工程、金融与科学 · 计算机科学 2026-01-19 Kanhaiya Lal Chaurasiya , Saurav Dutta , Siddhant Kumar , Akshay Joshi

We investigate the emergence of rigid polycrystalline structures from atomistic particle systems. The atomic interaction is governed by a suitably normalized pair interaction energy, where the `sticky disk' interaction potential models the…

统计力学 · 物理学 2021-03-31 Manuel Friedrich , Leonard Kreutz , Bernd Schmidt

The analogy between frictional cracks, propagating along interfaces in frictional contact, and ordinary cracks in bulk materials is important in various fields. We consider a stress-controlled frictional crack propagating at a velocity…

材料科学 · 物理学 2025-04-08 Efim A. Brener , Eran Bouchbinder

Linear poroelasticity models have a number of important applications in biology and geophysics. In particular, Biot's consolidation model is a well-known model that describes the coupled interaction between the linear response of a porous…

数值分析 · 数学 2020-03-17 Arbaz Khan , Catherine E. Powell

Digital image correlation is a widely used technique in the field of experimental mechanics. In fracture mechanics, determining the precise location of the crack tip is crucial. In this paper, we introduce a universal crack tip detection…

材料科学 · 物理学 2024-03-18 David Melching , Florian Paysan , Tobias Strohmann , Eric Breitbarth

The calculation of the stress field around an arbitrarily shaped crack in an infinite two-dimensional elastic medium is a mathematically daunting problem. With the exception of few exactly soluble crack shapes the available results are…

材料科学 · 物理学 2007-05-23 Eran Bouchbinder , Joachim Mathiesen , Itamar Procaccia

In this paper we propose a new high order accurate space-time DG finite element scheme for the solution of the linear elastic wave equations in first order velocity-stress formulation in two and three-space dimensions on staggered…

数值分析 · 数学 2018-05-09 Maurizio Tavelli , Michael Dumbser

We discover a qualitatively new behavior for systems where the load transfer has limiting stress amplification as in real fiber composites. We find that the disorder is a relevant field leading to tri--criticality, separating a first-order…

凝聚态物理 · 物理学 2009-10-28 J. V. Andersen , D. Sornette , K. -T. Leung

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

数学物理 · 物理学 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan