Perfect Plasticity with Damage and Healing at Small Strains, Its Modeling, Analysis, and Computer Implementation
DOI10.1137/15M1019647zbMath1383.74016arXiv1505.01018OpenAlexW2962995142MaRDI QIDQ2790408
Publication date: 4 March 2016
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.01018
Methods of quasi-Newton type (90C53) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Anelastic fracture and damage (74R20) Linear-quadratic optimal control problems (49N10) Nonsimple materials (74A30) PDEs in connection with mechanics of deformable solids (35Q74) Numerical methods for variational inequalities and related problems (65K15) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)
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- Viscous approximation of quasistatic evolutions for a coupled elastoplastic-damage model
- Gradient damage models coupled with plasticity and nucleation of cohesive cracks
- Phase transitions in non-simple bodies
- Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling
- Complete damage in elastic and viscoelastic media and its energetics
- A thermodynamically consistent theory of the ferro/paramagnetic transition
- Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
- Hypertractions and hyperstresses convey the same mechanical information
- An \(rp\)-adaptive finite element method for the deformation theory of plasticity
- Elastic materials with couple-stresses
- A continuum theory of elastic material surfaces
- Existence theorems for plasticity problems
- Plasticity. Mathematical theory and numerical analysis
- Second-order cone programming
- A TFETI domain decomposition solver for elastoplastic problems
- Quasistatic crack growth in nonlinear elasticity
- On rate-independent hysteresis models
- Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
- Thermodynamics of perfect plasticity
- Adaptive numerical analysis in primal elastoplasticity with hardening
- Rate-independent systems. Theory and application
- Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Some mathematical problems in perfect plasticity
- Magnetic shape-memory alloys: thermomechanical modelling and analysis
- A Model of Rupturing Lithospheric Faults with Reoccurring Earthquakes
- Small-strain heterogeneous elastoplasticity revisited
- Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation
- Fast Solvers and A Posteriori Error Estimates in Elastoplasticity
- Globally stable quasistatic evolution for a coupled elastoplastic–damage model
- A quasi-static boundary value problem in multi-surface elastoplasticity: part 2—numerical solution
- Analytical and numerical aspects of time‐dependent models with internal variables
- On A Class Of Doubly Nonlinear Evolution Equations
- Solution of One-Time-Step Problems in Elastoplasticity by a Slant Newton Method
- Rate-independent processes in viscous solids at small strains
- The Thermomechanics of Plasticity and Fracture
- Implementation of interior point methods for mixed semidefinite and second order cone optimization problems
- Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
- A Course on Damage Mechanics
- ERRORS OF FINITE ELEMENT METHOD FOR PERFECTLY ELASTO-PLASTIC PROBLEMS
- Plastic model with non‐local damage applied to concrete
- Analysis and Approximation of Contact Problems with Adhesion or Damage
- Contact interactions, stress and material symmetry
- Nonlinear partial differential equations with applications