Anisotropic and piezoelectric materials fracture analysis by BEM

García-Sánchez, F.; Sáez, Andrés; Domínguez, José Ferreirós

doi:10.1016/j.compstruc.2004.09.010

Cited by 76 publications

(53 citation statements)

References 31 publications

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“…For piezoelectric materials, the problem can be formulated as in the elastic case using an extended displacement and traction vector with the electric potential and the electric charge [15]. The elastic and electric variables are combined in a single constitutive equation by introducing uppercase subscripts (J, K) which range from 1 to 4 and lowercase subscripts (i, l) which range from 1 to 3.…”

Section: Boundary Element Formulationmentioning

confidence: 99%

A Simplified Scheme for Piezoelectric Anisotropic Analysis in Human Vertebrae Using Integral Methods

Duarte

Thoeni

Garzón‐Alvarado

et al. 2018

Mathematical Problems in Engineering

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This paper outlines a computational model for the analysis of the piezoelectric behaviour of the vertebral body remodelling process. Particular attention is paid to the algorithms for the simulation of the stress energy density for each point of the geometry and the distribution of the density in the bone. In addition, the model takes into account the piezoelectric effect and the anisotropy (transversal isotropy) of the bone. A model for internal anisotropic piezoelectric bone remodelling of a human vertebra is discussed in detail. The model consists of the implementation of an algorithm which includes the elastic and electric variables in a single equation using boundary element method. The presented results show a good agreement with biological data and the model does not include any electric additional charge.

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Section: Boundary Element Formulationmentioning

confidence: 99%

A Simplified Scheme for Piezoelectric Anisotropic Analysis in Human Vertebrae Using Integral Methods

Duarte

Thoeni

Garzón‐Alvarado

et al. 2018

Mathematical Problems in Engineering

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show abstract

“…However the formulation of the problem is complex for the case of piezoelectric materials with cracks and has only been accomplished in recent years, for the case of static piezoelectricity, by García-Sanchez et al (2005); García-Sánchez et al (2005; and for transient dynamics by Rojas-Díaz et al (2009;2010).…”

Section: Piezoelectric Ceramics 88mentioning

confidence: 99%

Characterization of Properties and Damage in Piezoelectrics

Rus¹,

Palma²,

Suárez³

2010

Piezoelectric Ceramics

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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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Anisotropic and piezoelectric materials fracture analysis by BEM

Cited by 76 publications

References 31 publications

A Simplified Scheme for Piezoelectric Anisotropic Analysis in Human Vertebrae Using Integral Methods

A Simplified Scheme for Piezoelectric Anisotropic Analysis in Human Vertebrae Using Integral Methods

Characterization of Properties and Damage in Piezoelectrics

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

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