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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 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

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

The focus of the article is on analysis of skew-symmetric weight matrix functions for interfacial cracks in two dimensional anisotropic solids. It is shown that the Stroh formalism proves to be an efficient approach to this challenging…

数学物理 · 物理学 2012-07-10 Lorenzo Morini , Enrico Radi , Alexander Movchan , Natalia Movchan

The paper is concerned with the problem of a semi-infinite crack at the interface between two dissimilar elastic half-spaces, loaded by a general asymmetrical system of forces distributed along the crack faces. On the basis of the weight…

数学物理 · 物理学 2012-06-07 Andrea Piccolroaz , Gennady Mishuris

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

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

A boundary element formulation is developed to determine the complex stress intensity factors associated with cracks on the interface between dissimilar materials. This represents an extension of the methodology developed previously by the…

计算物理 · 物理学 2010-03-02 Ali R. Hadjesfandiari , Gary F. Dargush

The present study provides the consideration of a mode III interface crack in one-dimentional (1D) piezoelectric quasicrystal under antiplane phonon and phason loading and inplane electric field. Due to complex function approach all…

材料科学 · 物理学 2025-12-23 Mohammed Altoumaimi , V. V. Loboda

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

In this study, an analytical solution is presented for thermo-electro-elastic analysis of piezoelectric semi-infinite bodies. For this purpose, governing equations are derived for a transversely isotropic piezoelectric material under…

材料科学 · 物理学 2013-05-16 M. H. Kargarnovin , R. Hashemi , M. Hashemi , H. Sadeghi

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

The two-dimensional transient problem that is studied concerns a semi-infinite crack in an isotropic solid comprising an infinite strip and a half-plane joined together and having the same elastic constants. The crack propagates along the…

偏微分方程分析 · 数学 2015-10-08 Y. A. Antipov , A. V. Smirnov

Porous media containing cracks, fractures, or internal discontinuities arise throughout subsurface geomechanics, biomechanics, and materials science. Numerical simulation of the coupled hydromechanical response is inherently challenging…

计算工程、金融与科学 · 计算机科学 2026-04-20 David Michael Riley , Guglielmo Scovazzi , Ioannis Stefanou

A contact problem of the theory of electroelasticity for piecewise-homogeneous plate of piezo-electric material with infinite cut and elastic finite inclusion of variable bending rigidity is considered. By using methods of the theory of…

数学物理 · 物理学 2024-05-21 Nugzar Shavlakadze , Nana Odishelidze , Francisco Criado-Aldeanueva

This paper considers a steady-state crack propagating along an interface between dissimilar orthotropic materials under an asymmetric load. Although most of the known results so far deal with symmetric loading, it has been shown recently…

经典物理 · 物理学 2013-09-25 L. Pryce , L. Morini , G. Mishuris

The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) is described…

数学物理 · 物理学 2011-05-11 Gennady Mishuris , Alexander Movchan , Natasha Movchan , Andrea Piccolroaz

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

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

Piezoelectric devices, such as piezoelectric traveling wave rotary ultrasonic motors, have composite piezoelectric structures. A composite piezoelectric structure consists of a combination of two or more bonded materials, where at least one…

数值分析 · 数学 2011-09-08 Valentin Bolborici , Francis P. Dawson , Mary C. Pugh
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