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Rock formations are very often characterized by the presence of fractures that have grown subcritically over geological time scales and under evolving stress fields. In mechanically layered systems, such fractures can either become…

地球物理 · 物理学 2026-01-01 Juan Michael Sargado , Michael Welch , Michael Lüthje

This paper identifies two ways to extract the energy (or power) flowing into a crack tip during propagation based on the power balance of areas enclosed by a stationary contour and a comoving contour. It is very interesting to find a…

其他凝聚态物理 · 物理学 2016-07-13 Si Xiao , He-ling Wang , Chad M Landis , Keh-Chih Hwang , Bin Liu

We study a class of models for brittle fracture: elastic theory models which allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to…

材料科学 · 物理学 2009-10-28 Alex Buchel , James P. Sethna

J integral based criterion is widely used in elastic-plastic fracture mechanics. However, it is not rigorously applicable when plastic unloading appears during crack propagation. One difficulty is that the energy density with plastic…

其他凝聚态物理 · 物理学 2015-10-28 Si Xiao , HeLing Wang , Bin Liu

A novel hydraulic fracture (HF) formulation is introduced which accounts for the hydraulically induced shear stress at the crack faces. It utilizes a general form of the elasticity operator alongside a revised fracture propagation condition…

地球物理 · 物理学 2016-12-13 Michal Wrobel , Gennady Mishuris , Andrea Piccolroaz

This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density $1/2$ at the tip. First, the blow-up limit of the displacement is analyzed, and the convergence to the…

偏微分方程分析 · 数学 2014-06-27 Jean-François Babadjian , Antonin Chambolle , Antoine Lemenant

The use of the interaction integral to compute stress intensity factors around a crack tip requires selecting an auxiliary field and a material variation field. We formulate a family of these fields accounting for the curvilinear nature of…

数值分析 · 数学 2015-01-16 Maurizio M. Chiaramonte , Yongxing Shen , Leon M. Keer , Adrian J. Lew

The failure of frictional interfaces -- the process of frictional rupture -- is widely assumed to feature crack-like properties, with far-reaching implications for various disciplines, ranging from engineering tribology to earthquake…

This paper is concerned with the steady-state propagation of an antiplane semi-infinite crack in couple stress elastic materials. A distributed loading applied at the crack faces and moving with the same velocity of the crack tip is…

数学物理 · 物理学 2014-04-11 L. Morini , A. Piccolroaz , G. Mishuris

The current study explores the analysis of crack in initially stressed, rotating material strips, drawing insights from singular integral equations. In this work, a self-reinforced material strip with finite thickness and infinite extent,…

经典物理 · 物理学 2024-09-19 Soniya Chaudhary , Diksha , Pawan Kumar Sharma

We consider a linearly elastic body consisting of two equal symmetrically arranged layers (or half-planes) connected by a structured interface as a prospective crack path. The interface is comprised by periodic discrete system of bonds. In…

经典物理 · 物理学 2014-03-05 Gennady S. Mishuris , Leonid I. Slepyan

IAn approach to modeling fracture incorporating interfacial mechanics is applied to the example of a curvilinear plane strain crack. The classical Neumann boundary condition is augmented with curvature-dependent surface tension. It is shown…

偏微分方程分析 · 数学 2012-06-19 A. Y. Zemlyanova , J. R. Walton

Stress corrosion cracking (SCC) is a form of failure in metals that is present mostly in systems where humidity contact and mechanical load play a key role. Therefore, prediction of the combined effect is desired. There are models based on…

材料科学 · 物理学 2021-11-10 Jorge G. Diaz

Stress field solutions and Stress Intensity Factors (SIFs) are found for $n$-cusped hypocycloidal shaped voids and rigid inclusions in an infinite linear elastic plane subject to nonuniform remote antiplane loading, using complex potential…

软凝聚态物质 · 物理学 2017-01-24 Summer Shahzad , Francesco Dal Corso , Davide Bigoni

Due to the oscillatory singular stress field around a crack tip, interface fracture has some peculiar features. This paper is focused on two of them. One can be reflected by a proposed paradox that geometrically similar structures with…

其他凝聚态物理 · 物理学 2017-04-05 Jia-Min Zhao , He-Ling Wang , Bin Liu

We investigate dynamic fracture of heterogeneous materials experimentally by measuring displacement fields as a rupture propagates through a periodic array of obstacles of controlled fracture energy. Our measurements demonstrate the…

软凝聚态物质 · 物理学 2021-07-21 Gabriele Albertini , Mathias Lebihain , François Hild , Laurent Ponson , David S. Kammer

This work models brittle fracture using a linearized surface-substrate theory in which the crack faces possess surface stresses derived from a surface strain-gradient elastic energy. The model incorporates surface stretching, curvature, and…

数学物理 · 物理学 2026-01-09 C. Rodriguez , A. Zemlyanova

The effects of shear on energy release rate and mode mixity in a symmetric sandwich beam with isotropic layers and a debond crack at the face sheet/core interface are investigated through a semi-analytic approach based on two-dimensional…

软凝聚态物质 · 物理学 2018-03-01 Luca Barbieri , Roberta Massabo , Christian Berggreen

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

In a recent very interesting and illuminating proposal, Yao et al. (2014) have discussed the use of the strain energy release rate (SERR) as a parameter to characterize fatigue delamination growth in composite materials. They consider…

材料科学 · 物理学 2020-12-08 M. Ciavarella , A. Papangelo , G. Cricri
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