On the modeling of highly localized deformations induced by material failure: the strong discontinuity approach
From MaRDI portal
Publication:2505276
DOI10.1007/BF02736230zbMath1099.74010OpenAlexW1975523366WikidataQ113327845 ScholiaQ113327845MaRDI QIDQ2505276
Publication date: 4 October 2006
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02736230
Finite element methods applied to problems in solid mechanics (74S05) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Theories of fracture and damage (74A45)
Related Items
A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling, Efficient modeling of localized material failure by means of a variationally consistent embedded strong discontinuity approach, A size-dependent constitutive modelling framework for localised failure analysis, Modeling strong discontinuities at finite strains -- a novel numerical implementation, Crack growth modeling via 3D automatic adaptive mesh refinement based on modified-SPR technique, A thermodynamically and variationally consistent class of damage-type cohesive models, Considerations on the identifiability of fracture and bond properties of reinforced concrete, Crack propagation simulation without crack tracking algorithm: embedded discontinuity formulation with incompatible modes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A general theory of uniqueness and stability in elastic-plastic solids
- Theories of nonlocal plasticity
- A finite element method for localized failure analysis
- A finite element with embedded localization zones
- The thermodynamics of elastic materials with heat conduction and viscosity
- Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strain
- Functions of bounded deformation
- On nonlocal plasticity
- Properties of discontinuous bifurcation solutions in elasto-plasticity
- Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain
- A variational principle for gradient plasticity
- Existence theorems for plasticity problems
- Computational inelasticity
- Numerical methods for solids (Part 3). Numerical methods for fluids (Part 1)
- On the localization properties of multiplicative hyperelasto-plastic continua with strong discontinuities
- An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids
- Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids
- Fine properties of functions with bounded deformation
- An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids
- Embedded localization band in undrained soil based on regularized strong discontinuity -- theory and FE-analysis
- From continuous to discontinuous failure in a gradient-enhanced continuum damage model.
- Incorrect initiation and propagation of failure in non-local and gradient-enhanced media.
- On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutitive equations
- Finite element simulation of strain localization with large deformation: Capturing strong discontinuity using a Petrov-Galerkin multiscale formulation
- A study of strain localization in a multiple scale framework. -- The one-dimensional problem
- A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation
- Finite element methods for the analysis of strong discontinuities in coupled poro-plastic media.
- Bifurcation of elastoplastic solids to shear band mode at finite strain.
- Continuum modelling of strong discontinuities in solid mechanics using damage models
- Instability phenomena in plasticity: Modelling and computation
- Computational plasticity of reinforced and prestressed concrete structures
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Strong discontinuities and continuum plasticity models: the strong discontinuity approach.
- A finite element model of localized deformation in frictional materials taking a strong discontinuity approach
- A novel algorithmic framework for the numerical implementation of locally embedded strong discontinuities
- A unified theory of thermomechanical materials
- Elasticity theory of materials with long range cohesive forces
- On the thermodynamic foundations of non-linear solid mechanics
- Embedded crack model: I. Basic formulation
- A new method for modelling cohesive cracks using finite elements
- An efficient finite element formulation based on the strong discontinuity approach for the modeling of material failure
- Discontinuous displacement approximation for capturing plastic localization
- A 3D anisotropic elastoplastic-damage model using discontinuous displacement fields
- Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions
- Nonlocal Continuum Damage, Localization Instability and Convergence
- A consistent characteristic length for smeared cracking models
- Finite element analysis of deformation of strain-softening materials
- Gradient-dependent plasticity: Formulation and algorithmic aspects
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- An anisotropic elastoplastic-damage model for plain concrete
- Elastic crack growth in finite elements with minimal remeshing
- On the strong discontinuity approach in finite deformation settings
- 3D modelling of strong discontinuities in elastoplastic solids: fixed and rotating localization formulations
- Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids
- Extended finite element method for three-dimensional crack modelling
- Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
- Non–convex potentials and microstructures in finite–strain plasticity
- Embedded representation of fracture in concrete with mixed finite elements
- Anisotropic modelling and numerical simulation of brittle damage in concrete
- A finite element method for crack growth without remeshing
- A class of mixed assumed strain methods and the method of incompatible modes
- On advanced solution strategies to overcome locking effects in strong discontinuity approaches
- Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface
- Finite elements. Theory, fast solvers and applications in elasticity theory
- Three-dimensional embedded discontinuity model for brittle fracture
- Strain localization in frictional materials exhibiting displacement jumps
- Analysis of slip planes in three-dimensional solids
- An extended finite element method for modeling crack growth with frictional contact.
- On the characterization of localized solutions in inelastic solids: An analysis of wave propagation in a softening bar
