Stochastic evolution of microcracks in continua
type: Item
instance of: scholarly article
title: Stochastic evolution of microcracks in continua
zbMATH Open document ID: 0978.74005
DOI: 10.1016/S0045-7825(98)00138-8
author: Giuliano Augusti
author: Paolo Maria Mariano
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-01-31T00:00:00Z
Mathematics Subject Classification ID: 74A45
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 1399975
zbMATH Keywords: stochastic elements of stiffness matrix
zbMATH Keywords: multifield description of continua
zbMATH Keywords: diffused microcracks
zbMATH Keywords: microcrack density function
zbMATH Keywords: submartingale process
zbMATH Keywords: generalized internal actions
zbMATH Keywords: damage entropy flux
zbMATH Keywords: production of configurational entropy
zbMATH Keywords: Clausius-Duhem inequality
zbMATH Keywords: finite element discretization
zbMATH Keywords: linear elastic brittle materials
zbMATH Keywords: stochastic distribution of microcracks
MaRDI profile type: Publication
cites work: Multifield Description of Microcracked Continua: A Local Model
cites work: Q3992456
cites work: Natural entropies in the state space of damaged bodies
cites work: Progressive damage in discrete models and consequences on continuum modelling.
cites work: Q4284701
cites work: Bulk and interfacial energy densities for structured deformations of continua
cites work: Distribution of directional data and fabric tensors
cites work: Procedures for stereological estimation of structural anisotropy
cites work: Damage tensors and the crack density distribution
cites work: Constraint manifolds for isotropic solids
cites work: Q3335096
cites work: Stochastic calculus in manifolds. With an appendix by P.A. Meyer
cites work: The existence of the flux vector and the divergence theorem for general Cauchy fluxes
cites work: Q5691468
cites work: Some remarks on the variational description of microcracked bodies
cites work: Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
cites work: The nature of configurational forces
cites work: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
cites work: Q4826603
cites work: Some axioms and theorems in damage mechanics and fatigue of materials
cites work: A mathematical foundation for thermodynamics
cites work: A new mathematical theory of simple materials
cites work: On the axioms of plasticity
cites work: Random field finite elements
cites work: A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
cites work: Remarks on rate constitutive equations for finite deformation problems: Computational implications
cites work: Consistent tangent operators for rate-independent elastoplasticity
description: scientific article; zbMATH DE number 1399975