Fracture of magnetoelectroelastic composite materials using boundary element method (BEM)

García-Sánchez, F.; Rojas-Díaz, R.; Sáez, Andrés; Zhang, Ch.

doi:10.1016/j.tafmec.2007.01.008

Cited by 76 publications

(49 citation statements)

References 24 publications

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“…Due to the dimension-reduction, the remeshing procedure is fairly simple as the crack is part of the boundary. Interesting applications of the BEM to fracture can be found, for example, in [240][241][242][243][244][245][246][247][248][249][250][251][252][253][254][255][256][257].…”

Section: Boundary Element Methodmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

161

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

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Section: Boundary Element Methodmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

161

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“…where the matrix B is determined by the material properties (Garcia-Sanchez et al, 2007b;Garcia-Sanchez and Saez, 2005) and …”

Section: Atomistic (Md) Simulation In the Inhomogeneous Deformation Rmentioning

confidence: 99%

Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems

Atluri¹

2006

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“…Magnetoelectroelastic composite materials have been receiving more attention in modern smart structure applications [1]. The study of inhomogeneous magnetoelectroelastic mechanics behavior has important theoretical and application values in the fields of electrics, microwave, supersonics, laser, infrared and so on [2].…”

Section: Introductionmentioning

confidence: 99%

“…For more realistic cases with irregular geometric shapes and complex loadings, numerical methods should be used in the studies of various properties of magnetoelectroelastic inhomogeneities. Garcia-Sanchez et al [1] obtained the solution of circular crack in magnetoelectroelastic media by means of the boundary element method. Dong et al [12] carried out the analysis in 2D cracked magnetoelectroelastic media using the boundary element method.…”

Section: Introductionmentioning

confidence: 99%

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Integral equation formulations in 2D inhomogeneous magnetoelectroelastic media

Dong¹

2013

Boundary Elements and Other Mesh Reduction Methods XXXVI

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Integral equation formulations for 2D inhomogeneous finite/infinite anisotropic magnetoelectroelastic media are presented. The present formulations only contain the fundamental solutions from the matrix which is taken as a homogeneous anisotropic magnetoelectroelastic medium. Functionally graded linear magnetoelectroelastic inclusions can be considered in which the corresponding fundamental solutions are not needed. In numerical implementation, inclusions are discretized into a series of quadratic quadrilateral or triangular elements, and cracks are meshed into a series of quadratic discontinuous boundary elements. For finite domain, the domain boundaries are discretized into a series of quadratic boundary elements. Finally, the present integral equation method can be used to investigate the interaction between cracks and inclusions in 2D anisotropic magnetoelectroelastic media and to carry out the analysis of effective properties of magnetoelectroelastic media.

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Fracture of magnetoelectroelastic composite materials using boundary element method (BEM)

Cited by 76 publications

References 24 publications

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems

Integral equation formulations in 2D inhomogeneous magnetoelectroelastic media

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