Modeling damage in finite elasto-plasticity
Source abstract
Abstract
In this paper we describe models of damaged materials within the constitutive framework of finite, multiplicative elasto-plasticity. The anisotropic damage is characterized by a second order invertible tensor, Fd− the damage deformation tensor, whose existence is related to an undamaged (fictitious) stress free configuration. The existence of the damage deformation tensor leads to a modified multiplicative decomposition of the deformation gradient F = FeFdFp, where the plastic part of deformation Fp can only affect the undamaged material structure. The behavior of the material is elastic and dependent on the damage deformation tensor Fd, and we adopt the concepts of damage surface and yield surface to describe the irreversible behaviour by the appropriate evolution equations.
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Research context
OpenAlex topics: Elasticity and Material Modeling · Composite Material Mechanics · Nonlocal and gradient elasticity in micro/nano structures
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References (11)
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1. M. Brünig, An anisotropic ductile damage model based on irreversible thermodynamics, Int.J. of Plasticity, 19(2003), 1679–1713.10.1016/S0749-6419(02)00114-6 ↗
2. M. Brünig and S. Ricci, Nonlocal continuum theory of anisotropically damaged metals, Int.J. of Plasticity, 21(2005), 1346–1382.10.1016/j.ijplas.2004.06.006 ↗
3. S. Cleja-Ţigoiu, Large elasto-plastic deformations of materials with relaxed configurations- I.Constitutive assumptions, II. Role of the complementary plastic factor, Int J Engng Sci, 28(1990), 171-180, 273–284.10.1016/0020-7225(90)90100-W ↗
4. S. Cleja-Ţigoiu, Couple stresses and non-Riemannian plastic connection in finite elasto-plasticity, ZAMP, 53(2002), 996–1013.
5. S. Cleja-Ţigoiu, Material forces in finite elasto-plasticity with continuously distributed dislocations, Int. J. Fracture in press(2007).10.1007/s10704-007-9131-0 ↗
6. S. Cleja-Ţigoiu and E. Soós, Elastoplastic models with relaxed configurations and internal state variables, Appl. Mech. Rev., 43(1990), 131–151.10.1115/1.3119166 ↗
7. M. Ekh, R. Lillbacka and K. Runesson, A model framework for anisotropic damage coupled to crystal (visco)plasticity, Int. J. Plast., 20(2004), 2143–2159.10.1016/j.ijplas.2004.04.007 ↗
8. M. E. Gurtin, A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations, J. Mech. Phys. Solids., 50(2002), 5–32.10.1016/S0022-5096(01)00104-1 ↗
9. H. Lämmer and Ch. Tsakmakis, Discussion of coupled elastoplasticity and damage constitutive equations for small and finite deformations, Int.J. of Plasticity, 16(2000), 495–523.10.1016/S0749-6419(99)00074-1 ↗
10. V. A. Lubarda and D. Krajcinovic, Some fundamental issues in rate theory of damaged-elastoplasticity, Int. J. of Plasticity, 16(1995), 763–797.10.1016/S0749-6419(95)00029-1 ↗
11. A. Menzel, M. Ekh, P. Steinmann and K. Runesson, Anisotropic Damage Coupled to plasticity: Modelling Based on the Effective Configuration Concept, Int. J. Numer. Meth. Eng., 1(2001), 1–25.