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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

We study a crack lying along an imperfect interface in an anisotropic bimaterial. A method is devised where known weight functions for the perfect interface problem are used to obtain singular integral equations relating the tractions and…

数学物理 · 物理学 2014-11-26 Lewis Pryce , Adam Vellender , Alexander Zagnetko

We consider the quasi-static propagation of a Mode III crack along the interface in a bimaterial plane containing a finite array of small line defects (microcracks and rigid line inclusions). The microdefects are arranged to form a channel…

数学物理 · 物理学 2011-10-27 A. Piccolroaz , G. Mishuris , A. Movchan , N. Movchan

We formulate a theoretical model of the shear failure of a thin film tethered to a rigid substrate. The interface between film and substrate is modeled as a cohesive layer with randomly fluctuating shear strength/fracture energy. We…

材料科学 · 物理学 2009-11-13 Michael Zaiser , Paolo Moretti , Avraam Konstantinidis , Elias C Aifantis

We analyse a problem of anti-plane shear in a bi-material plane containing a semi-infinite crack situated on a soft imperfect interface. The plane also contains a small thin inclusion (for instance an ellipse with high eccentricity) whose…

数学物理 · 物理学 2013-08-21 A. Vellender , G. Mishuris , A. Piccolroaz

A semi-infinite crack loaded by a general asymmetric system of forces in an infinite bi-material plane is considered. A boundary integral formulation is derived using the fundamental reciprocal identity (Betti formula). The resulting…

数学物理 · 物理学 2017-05-23 Adam Vellender

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is…

材料科学 · 物理学 2015-11-09 Sylvain Patinet , L Alzate , E Barthel , D Dalmas , D Vandembroucq , V Lazarus

The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the…

材料科学 · 物理学 2017-05-24 Marco Paggi , Jose Reinoso

We consider the perturbation problem of a Mode III interfacial crack. The perturbation is of geometrical type and can be both perturbation of the crack faces and perturbation of the interface, which can deviate from the initial straight…

数学物理 · 物理学 2010-04-05 A. Piccolroaz , G. Mishuris , A. B. Movchan

The focus of the article is on the analysis of a semi-infinite crack at the interface between two dissimilar anisotropic elastic materials, loaded by a general asymmetrical system of forces acting on the crack faces. Recently derived…

数学物理 · 物理学 2013-02-15 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

We consider an infinite bi-material plane containing a semi-infinite crack situated on a soft imperfect interface. The crack is loaded by a general asymmetrical system of forces distributed along the crack faces. On the basis of the weight…

材料科学 · 物理学 2014-03-25 G. Mishuris , A. Piccolroaz , A. Vellender

Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including…

材料科学 · 物理学 2015-06-03 Roi Harpaz , Eran Bouchbinder

We define a weight function in a bi-material strip containing a semi-infinite crack and an imperfect interface and analyse a problem of anti-plane shear. We then present an asymptotic algorithm which uses the weight function to evaluate the…

数学物理 · 物理学 2013-08-21 A. Vellender , G. S. Mishuris , A. B. Movchan

The pattern development of multiple cracks in extremely anisotropic solids such as bilayer or multilayer two-dimensional (2D) crystals contains rich physics, which, however, remains largely unexplored. We studied crack interaction across…

材料科学 · 物理学 2024-02-13 Shizhe Feng , Xiaodong Zheng , Pengjie Shi , Thuc Hue Ly , Jiong Zhao , Zhiping Xu

A phase-field approach is proposed for interface failure between two possibly dissimilar materials. The discrete adhesive interface is regularised over a finite width. Due to the use of a regularised crack model for the bulk material, an…

材料科学 · 物理学 2019-09-06 Arne Claus Hansen-Dörr , René de Borst , Paul Hennig , Markus Kästner

Material failure is mediated by the propagation of cracks, which in realistic 3D materials typically involve multiple coexisting fracture planes. Multiple fracture-plane interactions create poorly understood out-of-plane crack structures,…

材料科学 · 物理学 2024-11-27 Meng Wang , Eran Bouchbinder , Jay Fineberg

We perform finite element simulations to study the impact of defect-defect interactions on the pressure-induced buckling of thin, elastic, spherical shells containing two dimpled imperfections. Throughout, we quantify the critical buckling…

软凝聚态物质 · 物理学 2023-05-25 Fani Derveni , Arefeh Abbasi , Pedro M. Reis

An original boundary integral formulation is proposed for the problem of a semi-infinite crack at the interface between two dissimilar elastic materials in the presence of heat flows and mass diffusion. Symmetric and skew-symmetric weight…

数学物理 · 物理学 2016-02-17 L. Morini , A. Piccolroaz

Engineering wear models are generally empirical and lack connections to the physical processes of debris generation at the nanoscale to microscale. Here, we thus analyze wear particle formation for sliding interfaces in dry contact with…

材料科学 · 物理学 2019-05-15 Tobias Brink , Jean-François Molinari

The modeling of crack propagation in a heterogeneous material using a phase field model is studied numerically in a simple test case: the crack meets a wedge of higher fracture energy. It is shown that when the crack cannot enter the wedge,…

材料科学 · 物理学 2021-08-24 Hervé Henry
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