Evaluation of the T-stress for cracks in functionally graded materials by the FEM. (December 2016)

• Record Type: Journal Article
• Authors: Sladek, J.; Sladek, V.; Repka, M.; Tan, C.L.
• Is Part Of: Theoretical and applied fracture mechanics. Volume 86:Part B(2016)
• Page Start: 332
• Page End: 341
• Publication Date: 2016-12
• Subjects: Fracture mechanics -- Periodicals; 620.1126
• DOI: 10.1016/j.tafmec.2016.09.004
• Languages: English
• ISSNs: 0167-8442

Abstract

Highlights: New quarter-point crack tip element. Functionally graded orthotropic material. Coupled thermoelasticity. Finite element method for numerical analyses of crack problems. Thermal and mechanical impact load. Abstract: Using the quarter-point crack tip element, a simple formula is derived which provides a quick and expedient means to evaluate the elastic T-stress in the finite element method (FEM) fracture mechanics analysis of functionally graded materials (FGMs). The formula is derived by comparing the variation of displacements in the quarter-point element with the corresponding asymptotic expression for the displacement field in the vicinity of a crack-tip. The asymptotic fields in the crack-tip vicinity in a FGM with continuously varying material properties are the same as in a homogeneous one. The simplicity of the use of this formula for T-stress evaluation in FEM fracture mechanics analysis is demonstrated by its application to some transient elastodynamic and thermoelastic problems.