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Primal interface debonding formulation for finite strain isotropic plasticity

Journal Article · · Mechanics Research Communications
 [1];  [2]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
  2. Univ. of Tennessee, Knoxville, TN (United States)

In this work, a framework is developed for modeling ductile damage of nonlinear materials whose plastic deformation is characterized using rate independent classical plasticity. This method relies on the assumption that the free energy can be decomposed into elastic, plastic and damage parts. A thermodynamically consistent method is derived which satisfies the second law of thermodynamics in the Clausius–Duhem inequality form. The dissipation associated with plasticity takes place in the domain only, while damage dissipation is localized to the interface. The method is developed using Variational Multiscale ideas to obtain definitions of the interface fluxes within a primal formulation analogous to the Discontinuous Galerkin method, which ensures weakly vanishing interface gap prior to reaching a damage initiation criterion. The local nonlinear problem to calculate both plastic deformation gradient and damage variable follows an incremental approach similar to classical plasticity return mapping algorithm. This elastoplastic damage formulation is developed for material undergoing finite strain, and it naturally accommodates a trapezoidal traction separation law (TSL) whose shape can be varied to model either ductile interface behavior or brittle interface behavior. The formulation's performance is assessed through modeling a patch test and a compact tension specimen.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE; National Science Foundation (NSF)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1813173
Journal Information:
Mechanics Research Communications, Journal Name: Mechanics Research Communications Journal Issue: 1 Vol. 112; ISSN 0093-6413
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (38)

Finite strain primal interface formulation with consistently evolving stabilization: FINITE STRAIN INTERFACE FORMULATION WITH EVOLVING STABILIZATION
  • Truster, Timothy J.; Chen, Pinlei; Masud, Arif
  • International Journal for Numerical Methods in Engineering, Vol. 102, Issue 3-4 https://doi.org/10.1002/nme.4763
journal January 2015
The concept of control points in hybrid discontinuous Galerkin methods-Application to geometrically nonlinear crystal plasticity: Hybrid discontinuous Galerkin for crystal viscoplasticity
  • Alipour, Atefeh; Wulfinghoff, Stephan; Bayat, Hamid Reza
  • International Journal for Numerical Methods in Engineering, Vol. 114, Issue 5 https://doi.org/10.1002/nme.5754
journal February 2018
A Discontinuous/continuous Galerkin method for modeling of interphase damage in fibrous composite systems journal February 2013
A stabilized, symmetric Nitsche method for spatially localized plasticity journal November 2015
Analysis of the cup-cone fracture in a round tensile bar journal January 1984
Plane strain deformation near a crack tip in a power-law hardening material journal January 1968
Mechanisms of fatigue crack propagation in metals, ceramics and composites: Role of crack tip shielding journal August 1988
A computational framework for a class of fully coupled models for elastoplastic damage at finite strains with reference to the linearization aspects journal March 1996
The variational multiscale method—a paradigm for computational mechanics journal November 1998
The variational formulation of viscoplastic constitutive updates journal April 1999
Finite element simulation of dynamic fracture and fragmentation of glass rods journal March 2000
An extension of the Green and Gurson models to kinematic hardening journal January 2003
A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation journal March 2003
Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models journal June 2003
Numerical simulation of quasi-brittle fracture using damaging cohesive surfaces journal September 2000
Failure of metals I: Brittle and ductile fracture journal April 2016
On the algorithmic and implementational aspects of a Discontinuous Galerkin method at finite strains journal September 2015
A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems journal December 2010
On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity journal January 2013
Primal interface formulation for coupling multiple PDEs: A consistent derivation via the Variational Multiscale method journal January 2014
Isogeometric analysis of nearly incompressible large strain plasticity journal January 2014
Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers journal April 2016
A low-order locking-free hybrid discontinuous Galerkin element formulation for large deformations journal August 2017
Interfacial stabilization at finite strains for weak and strong discontinuities in multi-constituent materials journal January 2018
A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modeling of interfacial fracture journal January 2019
A primal formulation for imposing periodic boundary conditions on conforming and nonconforming meshes journal February 2020
The prediction of dynamic fracture evolution in PMMA using a cohesive zone model journal April 2005
On topology-based cohesive interface element insertion along periodic boundary surfaces journal January 2019
Nonlocal continuum theory of anisotropically damaged metals journal July 2005
Towards variational constitutive updates for non-associative plasticity models at finite strain: Models based on a volumetric-deviatoric split journal April 2009
Rate-dependent elastic and elasto-plastic cohesive zone models for dynamic crack propagation journal July 2016
A unified potential-based cohesive model of mixed-mode fracture journal June 2009
DEIP, discontinuous element insertion Program — Mesh generation for interfacial finite element modeling journal January 2018
Mechanisms of fatigue-crack propagation in ductile and brittle solids journal January 1999
Thermodynamics with Internal State Variables journal July 1967
Continuum Thermodynamics journal December 1983
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks journal June 1968
Continuum Models of Ductile Fracture: A Review journal April 2009