Crack growth prediction of an inclined crack in a half-plane thermopiezoelectric solid

Qin, Qiaoping; Mai, Y.W.

doi:10.1016/s0167-8442(96)00048-1

Cited by 46 publications

(10 citation statements)

References 5 publications

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“…Qin and Mai (1997) studied the crack growth behavior in a half-plane medium using the strain energy density criterion. The Green's function for an unbounded piezoelectric plate containing an elliptic hole under thermal loading is also obtained by Qin (1998).…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Crack in a Finite Thermopiezoelectric Plate under Heat Flux

Tsamasphyros

Song

2005

Int J Fract

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The mechanical and electric fields in a finite thermopiezoelectric plate containing an isolated crack are formulated by applications of the Stroh's formulism and conformal transformation. The general form of the solution is constructed consisting of a holomorphic part in terms of Laurent series of each mapping planes, and a nonholomorphic part in integral form due to the crack. The approximate solution is obtained by least square method for a rectangular plate in which supplementary functions are introduced concerning its four corners for the purpose of accelerating the convergency of the Laurent series. The coefficients of the Laurent series of the solution, both for thermal field and electro-mechanical field, are exhibited for a crack problem, and the accuracy of the approximation is explored subsequently. The stress and electric displacement (SED) intensity factors are given for varying the plate size and the crack site. For specified crack length, considerable enhancement of SED intensity factors may be attained as the plate size increases owing to the mechanical and electric fields formed under uniform heat flow.

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Section: Introductionmentioning

confidence: 99%

Analysis of a Crack in a Finite Thermopiezoelectric Plate under Heat Flux

Tsamasphyros

Song

2005

Int J Fract

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“…Apart from analytical solutions which are available only for a few problems with simple geometries and boundary conditions [1][2][3][4][5][6], numerical methods such as the finite element method (FEM), the finite difference method (FDM) and the boundary element/integral method (BEM/BIM) provide alternative approaches to approximate the 3D elasticity solutions in the past decades [7][8][9][10]. Among them, the FEM and the FDM require domain discretisation while the BEM/BIM requires only boundary discretisation for the homogeneous partial differential equations (PDE) and domain discretisation for the inhomogeneous PDE respectively.…”

Section: Introductionmentioning

confidence: 99%

Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions

Lee

Wang

Qin

2015

Engineering Analysis with Boundary Elements

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“…These facts make the stress analysis for materials with defects such as holes, cracks and inclusions is essential and important [1][2][3][4][5]. The mechanical behaviour of composite materials is usually studied by using anisotropic elasticity due to its anisotropic property.…”

Section: Introductionmentioning

confidence: 99%

Mesh reduction strategy: special element for modelling anisotropic materials with defects

Cao

Qin

2013

Boundary Elements and Other Mesh Reduction Methods XXXVI

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In this paper we present a hybrid finite element method (HFS-FEM) to model efficiently and accurately anisotropic materials with defects by developing special elements for elliptic hole/crack based on their associated Green's functions. The hybrid method is formulated based on two independent assumptions: intra-element field in terms of the combination of fundamental solutions and inter-element frame fields along the element boundary. A modified functional, which is satisfying the governing equation, boundary and continuity conditions between elements, is proposed to derive the element stiffness. In this work, the foundational solutions of the anisotropic materials following Stroh formalism are employed to approximate the intra-element displacement field of general elements, while the special fundamental solutions satisfying the required boundary conditions for hole or crack are used for the special elements containing defects. Two examples are presented to assess the performance of the proposed method. Numerical results obtained for the stress concentration factor (SCF) and stress intensity factor (SIF) are extremely accurate for the investigated cases.

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Crack growth prediction of an inclined crack in a half-plane thermopiezoelectric solid

Cited by 46 publications

References 5 publications

Analysis of a Crack in a Finite Thermopiezoelectric Plate under Heat Flux

Analysis of a Crack in a Finite Thermopiezoelectric Plate under Heat Flux

Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions

Mesh reduction strategy: special element for modelling anisotropic materials with defects

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