Fracture analysis of plane piezoelectric/piezomagnetic multiphase composites under transient loading

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

doi:10.1016/j.cma.2011.06.004

Cited by 15 publications

(4 citation statements)

References 37 publications

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“…The time-domain fundamental solutions cannot be expressed in closed-form. In 2D case, they can be represented by a line-integral over the unit circle [3]. The BIEs (3) and (4) are solved numerically by a time-domain boundary element method (TDBEM) similar to [2].…”

Section: Problem Statement and Time-domain Biesmentioning

confidence: 99%

See 1 more Smart Citation

Transient dynamic analysis of cracked magnetoelectroelastic composites by a hypersingular time‐domain BEM

Wünsche

Zhang

Sáez

et al. 2010

Proc Appl Math and Mech

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Due to the coupling effects between the mechanical, electrical and magnetic fields, magnetoelectroelastic (MEE) composite materials consisting of piezoelectric and piezomagnetic phases are receiving increasing attention in recent years [1]. The magnetoelectric coupling in the magnetoelectroelastic composite materials is much larger as compared to that of a single phase MEE material. MEE composites have many innovative applications in broadband sensing, actuating devices and smart structures, which are required in advanced engineering sciences and often subjected to dynamic like time-harmonic and impact loading conditions. The dynamic crack analysis is an important issue in material sciences and engineering applications of MEE composite materials. This paper presents a hypersingular time-domain boundary element method (TDBEM) for transient dynamic crack analysis in two-dimensional (2D), homogeneous, anisotropic and linear magnetoelectroelastic solids.

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Section: Problem Statement and Time-domain Biesmentioning

confidence: 99%

“…BaT iO 3 − CoF e 2 O 4 composite with the material properties given in [3] is investigated. The numerical results of the present time-domain BEM obtained for different loadings are shown in Fig.…”

Section: Problem Statement and Time-domain Biesmentioning

confidence: 99%

Transient dynamic analysis of cracked magnetoelectroelastic composites by a hypersingular time‐domain BEM

Wünsche

Zhang

Sáez

et al. 2010

Proc Appl Math and Mech

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“…Analytical or semi-analytical works are limited to simple geometries and loading conditions [12,10,13,14,15,16,17,18], thus stressing the importance of developing efficient numerical methods to simulate more realistic problems. We may cite here some relevant contributions using both the standard finite element method (FEM) and the extended FEM (X-FEM) [19,20,45,22,36,24,25], the meshless local Petrov-Galerkin (MLPG) approach [26,27,28,29] or the boundary element method (BEM) [30,31,32,33,34,35,36,37] among others. In particular, the BEM has shown good performance for the analysis of fracture applications under both static and dynamic loading conditions [38,39].…”

Section: Introductionmentioning

confidence: 99%

Transient Dynamic Analysis of Cracked Multiﬁeld Solids with Consideration of Crack-Face Contact and Semi-Permeable Electric/Magnetic Boundary Conditions

Wünsche

Sáez

García-Sánchez³

et al. 2014

KEM

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Boundary element method (BEM) formulations for transient dynamic crack analysis intwo-dimensional (2D) multiﬁeld materials are reviwed in this paper. Both homogeneous and lin-ear piezoelectric as well as magnetoelectroelastic material models are considered. Special attentionis paid to properly modeling the non-linear crack-face contact and semi-permeable electric/magneticboundary conditions. Implementation of the corresponding time-domain BEM(TDBEM) is discussedin detail. The proposed TDBEM uses a Galerkin-method for the spatial discretization, whilst thecollocation method is considered for the temporal discretization. Iterative solution algorithms aredeveloped to compute the non-linear crack-face boundary conditions. Crack-tip elements that ac-count for the square-root local behavior of the crack opening displacements (CODs) at the crack-tipsare implemented. In this way, stress intensity factors (SIF), electric displacement intensity factor(EDIF) and magnetic induction intensity factor (MIIF) may be accurately evaluated from the nu-merically computed CODs at the closest nodes to the crack-tips. Numerical examples involving sta-tionary cracks in piezoelectric and magnetoelectroelastic solids under different combined (mechani-cal/electric/magnetic) impact loadings are investigated, in order to illustrate the effectiveness of theproposed approach and characterize the inﬂuence of the semi-permeable crack-face boundary condi-tions on the dynamic ﬁeld intensity factors.

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“…Under transient electromechanical loading, severe mechanical stress occurs during operation. Therefore, many authors studied the dynamic fracture of piezoelectric materials to understand their electromechanical behaviors under different time-dependent loads (Ang and Athanasius, 2011;Enderlein et al, 2005;Feng et al, 2006;Garcia-Sanchu et al, 2008;Li and Lee, 2006;Liu and Zhong, 2010;Nishioka et al, 2003;Rojas-Diaz et al, 2011;Saez et al, 2006;Ueda, 2003;Wunsche et al, 2011;Zhao, 2004). For practical applications, the crack and the medium are always of finite size.…”

Section: Introductionmentioning

confidence: 99%

Transient electromechanical cracking of finite piezoelectric bodies

Wang

2013

Journal of Intelligent Material Systems and Structures

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This article studies the problem of a finite crack in a finite piezoelectric medium subjected to transient electric and mechanical loads. Unlike past studies that mainly focused on the infinitesimal cracks, the current article considers the effect of the medium boundaries on the transient fracture behavior of piezoelectric materials. A system of singular integral equations is formulated in terms of the crack surface displacement and electric potential. Effects of crack length and medium size on the crack-tip field intensity factors are investigated in detail. Numerical results for the time-dependent stress and electric displacement intensity factors are obtained. Electrically impermeable crack assumption, electrically permeable crack assumption, and notch of finite height are investigated. Some new conclusions are drawn.

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Fracture analysis of plane piezoelectric/piezomagnetic multiphase composites under transient loading

Cited by 15 publications

References 37 publications

Transient dynamic analysis of cracked magnetoelectroelastic composites by a hypersingular time‐domain BEM

Transient dynamic analysis of cracked magnetoelectroelastic composites by a hypersingular time‐domain BEM

Transient Dynamic Analysis of Cracked Multiﬁeld Solids with Consideration of Crack-Face Contact and Semi-Permeable Electric/Magnetic Boundary Conditions

Transient electromechanical cracking of finite piezoelectric bodies

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