Crack analysis of nano-sized thermoelectric material structures. (July 2020)

• Record Type: Journal Article
• Authors: Sladek, Jan; Sladek, Vladimir; Repka, Miroslav; Schmauder, Siegfried
• Is Part Of: Engineering fracture mechanics. Volume 234(2020)
• Publication Date: 2020-07
• Subjects: Thermo-electric coupling -- Finite element method -- Gradient theory -- Strain gradient -- In-plane crack problems; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2020.107078
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: Analyses of thermoelectric nano-sized structures with cracks. The size-effect phenomenon is considered by strain-gradients in constitutive equations. The mixed FEM formulation is applied for numerical implementation. The influence of the size effect on the crack-opening-displacements is investigated. Abstract: General 2D boundary value problems with cracks in nano-sized structures of thermoelectric materials are analyzed by the finite element method (FEM). The size-effect phenomenon observed in nano-sized structures is considered by strain-gradients in the constitutive equation for the high-order stress tensor. The variational principle is applied for derivation of coupled thermo-electro-mechanical governing equations. The thermo-electrical fields are fully coupled and the mechanical fields are coupled with temperature only. The mixed FEM with the C 0 continuous interpolation for displacements and strains is developed. A collocation approach for kinematic constraints between strains and displacements is applied. The influence of the size effect on variation of crack opening displacements is demonstrated by some numerical examples.