T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: A unified approach using the interaction integral method.

DOI10.1016/S0045-7825(02)00652-7zbMath1173.74334OpenAlexW2104455247MaRDI QIDQ1402574

Jeong-Ho Kim, Glaucio H. Paulino

Publication date: 28 August 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00652-7

zbMATH Keywords

Stress intensity factorFinite element methodT-stressFunctionally graded materialInteraction integral

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (17)

Moving contact problems involving a rigid punch and a functionally graded coating ⋮ T-stress evaluations for nonhomogeneous materials using an interaction integral method ⋮ Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method ⋮ Crack propagation in non-homogenous materials: evaluation of mixed-mode SIFs, T-stress and kinking angle using a variant of EFG method ⋮ An automated mesh generation algorithm for simulating complex crack growth problems ⋮ Finite element evaluation of stress intensity factors in curved non-planar cracks in FGMs ⋮ Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation ⋮ Coupled numerical analysis for in-plane elastic \(T\)-stress evaluation in isotropic FG solids ⋮ Fracture modeling of isotropic functionally graded materials by the numerical manifold method ⋮ A non-intrusive stochastic phase field method for crack propagation in functionally graded materials ⋮ Analysis for T-stress of cracks in 3D anisotropic elastic media by weakly singular integral equation method ⋮ \(J\) resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models ⋮ An analytical approach for fracture and fatigue in functionally graded materials ⋮ An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces ⋮ Computation of T-stresses for multiple-branched and intersecting cracks with the numerical manifold method ⋮ Symmetric Galerkin boundary element computation of \(T\)-stress and stress intensity factors for mixed-mode cracks by the interaction integral method ⋮ Modelling of surface crack growth under lubricated rolling-sliding contact loading

Cites Work

• A variational approach to the theory of the elastic behaviour of multiphase materials
• Numerical analysis of crack-tip fields in functionally graded materials with a crack normal to the elastic gradient.
• Cracking in thin multi-layers with finite-width and periodic architectures.
• On the computation of mixed-mode stress intensity factors in functionally graded materials
• Micromechanical models for graded composite materials. II: Thermomechanical loading
• Continuum micro-mechanics of elastoplastic polycrystals
• Finite Element Investigation of Quasi-Static Crack Growth in Functionally Graded Materials Using a Novel Cohesive Zone Fracture Model
• Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials
• A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity
• Crack-Tip Singular Fields in Nonhomogeneous Materials
• An accurate scheme for mixed-mode fracture analysis of functionally graded materials using the interaction integral and micromechanics models
• Finite element evaluation of mixed mode stress intensity factors in functionally graded materials
• Finite crack kinking and \(T\)-stresses in functionally graded materials.
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