Extended finite element simulation of quasi-brittle fracture in functionally graded materials

DOI10.1016/j.cma.2007.02.014zbMath1173.74406OpenAlexW2044692565MaRDI QIDQ1033271

Claudia Comi, Stefano Mariani

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.cma.2007.02.014

zbMATH Keywords

functionally graded materialsextended finite element methodquasi-brittle fracturecohesive model

Mathematics Subject Classification ID

Brittle fracture (74R10) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (18)

A heterogeneous cohesive model for quasi-brittle materials considering spatially varying random fracture properties ⋮ Fatigue Crack Growth Analysis of Functionally Graded Materials by EFGM and XFEM ⋮ A finite element flux-corrected transport method for wave propagation in heterogeneous solids ⋮ Failure assessment of layered composites subject to impact loadings: a finite element, sigma-point Kalman filter approach ⋮ A thermomechanical fracture modeling and simulation for functionally graded solids using a residual-strain formulation ⋮ Monte Carlo simulation of micro-cracking in polysilicon MEMS exposed to shocks ⋮ An alternative BEM formulation, based on dipoles of stresses and tangent operator technique, applied to cohesive crack growth modelling ⋮ Transient heat conduction in a functionally graded strip in contact with well stirred fluid with an outside heat source ⋮ An extended finite element method with analytical enrichment for cohesive crack modeling ⋮ A non-intrusive stochastic phase field method for crack propagation in functionally graded materials ⋮ Concurrent coupling of peridynamics and classical elasticity for elastodynamic problems ⋮ RI-IGABEM based on PIM in transient heat conduction problems of FGMs ⋮ The extended/generalized finite element method: An overview of the method and its applications ⋮ A state-of-the-art review of the X-FEM for computational fracture mechanics ⋮ Numerical simulation of premixed combustion using an enriched finite element method ⋮ A three-scale FE approach to reliability analysis of MEMS sensors subject to impacts ⋮ Application of Adaptive Phase-Field Scaled Boundary Finite Element Method for Functionally Graded Materials ⋮ Modeling dynamic brittle fracture in functionally graded materials using hyperbolic phase field and smoothed particle hydrodynamics

Cites Work

• Multiple cracking in functionally graded ceramic/metal coatings
• Computational modelling of impact damage in brittle materials
• Multiple isoparametric finite element method for nonhomogeneous media
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials
• Cohesive modeling of dynamic fracture in functionally graded materials
• Mixed-mode stress intensity factors for graded materials
• A new method for modelling cohesive cracks using finite elements
• An extended FE strategy for transition from continuum damage to mode I cohesive crack propagation
• 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
• The Surface Crack Problem for a Plate With Functionally Graded Properties
• Extended finite element method for quasi-brittle fracture
• Extended finite element method for three-dimensional crack modelling
• A finite element method for crack growth without remeshing
• Influence of elastic gradient profiles on dynamically loaded functionally graded materials: Cracks along the gradient

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