A heterogeneous cohesive model for quasi-brittle materials considering spatially varying random fracture properties

DOI10.1016/j.cma.2008.03.027zbMath1194.74316OpenAlexW2080569410MaRDI QIDQ2637900

X. Frank Xu, Zhen-Jun Yang

Publication date: 13 September 2010

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.2008.03.027

zbMATH Keywords

random heterogeneous materialsquasi-brittle failureheterogeneous cohesive modelstochastic fracture

Mathematics Subject Classification ID

Brittle fracture (74R10) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (8)

Monte Carlo simulation of complex cohesive fracture in random heterogeneous quasi-brittle materials ⋮ Implementation of the Multiscale Stochastic Finite Element Method on Elliptic PDE Problems ⋮ Numerical solutions for magneto-electro-elastic laminated plates resting on Winkler foundation or elastic half-space ⋮ Phase-field modeling of stochastic fracture in heterogeneous quasi-brittle solids ⋮ Finite element analysis of quasistatic crack propagation in brittle media with voids or inclusions ⋮ The stochastic finite element method: past, present and future ⋮ Monte Carlo simulation of complex cohesive fracture in random heterogeneous quasi-brittle materials: A 3D study ⋮ The stochastic Galerkin scaled boundary finite element method on random domain

Cites Work

• Fully automatic modelling of cohesive discrete crack propagation in concrete beams using local arc-length methods
• Modelling cohesive crack growth using a two-step finite element-scaled boundary finite element coupled method
• Prediction and the quantification of uncertainty
• Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture
• A multiscale stochastic finite element method on elliptic problems involving uncertainties
• Extended finite element simulation of quasi-brittle fracture in functionally graded materials
• Strain localization. -- Short to long correlation length transition
• Disordering of a dynamic planar crack front in a model elastic medium of randomly variable toughness
• Effective toughness of heterogeneous brittle materials
• A cohesive segments method for the simulation of crack growth
• Deterministic and stochastic analysis of size effects and damage evolution in quasi-brittle materials
• Material-independent crack arrest statistics
• Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics
• Stochastic fracture of ceramics under dynamic tensile loading
• A new method for modelling cohesive cracks using finite elements
• The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks
• A unified interface constitutive law for the study of fracture and contact problems in heterogeneous materials
• Energetic–statistical size effect simulated by SFEM with stratified sampling and crack band model
• Elastic crack growth in finite elements with minimal remeshing
• Brittle fracture in polycrystalline microstructures with the extended finite element method
• Extended finite element method for quasi-brittle fracture
• Quasi-static crack growth for a cohesive zone model with prescribed crack path
• A method for multiple crack growth in brittle materials without remeshing

This page was built for publication: A heterogeneous cohesive model for quasi-brittle materials considering spatially varying random fracture properties