Stochastic approaches for damage evolution in standard and non-standard continua

Differential Equations Numerical analysis Deformation Heterogeneity Model Regularization Elasticity Mechanical Discretization Damage Numerical simulations Finite element analyses Finite element Inhomogeneity Failure Numerical simulation Material properties Failure mode Damage model Civil Imperfections Continuum Damage evolution A4630J Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation A0260 Numerical approximation and analysis Internal length scale Numerical-simulation A4630C Elasticity Continuum damage A0230 Function theory, analysis A0210 Algebra, set theory, and graph theory A0250 Probability theory, stochastic processes, and statistics A0540 Fluctuation phenomena, random processes, and Brownian motion Damage process Equation Failure process Finite element discretization Length parameter Monte Carlo technique Nonlocal damage Nonlocal damage model Nonstandard continua Quasi brittle materials Quasibrittle materials