Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v2.i4.30
27 pages

Analysis and Numerical Simulation of Discontinuous Displacements Modeling Fine Scale Damage in a Continuum Under Mixed-Mode Loading

Krishna Garikipati
University of Michigan

ABSTRACT

A continuum damage degradation model capable of representing mixed-mode failure is analyzed. The damage criteria are represented by multiple surfaces that bound the elastic domain in stress space. The compliance tensor is treated as an internal variable and evolves with damage. The damage evolution law is associative and of a nonhardening nature. A distributional framework is adopted for the kinematics. In order to model fine scale features, such as microcracks and microvoids, it is assumed that the solution admits discontinuous displacements. This implies singular distributional strain fields. Necessary conditions are arrived at for the existence of such solutions. It is demonstrated that an interpretation consistent with the presence of strongly discontinuous solutions is possible for this damage model. Furthermore, the analysis leads to a law that dictates the evolution of the solution in the postbifurcation regime. This is combined with an unloading modulus that degrades as damage progresses. Computations are performed in the framework of the Enhanced Strain Finite Element Method. The strain field is enhanced with functions capable of representing singular distributions. Several numerical examples that demonstrate independence of element size and mesh alignment are presented.


Articles with similar content:

Anisotropic Micromechanical Creep Damage Model for Composite Materials: A Reduced-Order Approach
International Journal for Multiscale Computational Engineering, Vol.6, 2008, issue 2
Erez Gal, Jacob Fish
A MULTISCALE MESH-FREE APPROACH TO MODELING DAMAGE OF AN ULTRA-HIGH-PERFORMANCE CONCRETE
International Journal for Multiscale Computational Engineering, Vol.16, 2018, issue 2
Jesse A. Sherburn, William F. Heard, Paul A. Sparks, Brett A. Williams
ITERATIVE GLOBAL-LOCAL APPROACH TO CONSIDER THE EFFECTS OF LOCAL ELASTO-PLASTIC DEFORMATIONS IN THE ANALYSIS OF THIN-WALLED MEMBERS
International Journal for Multiscale Computational Engineering, Vol.15, 2017, issue 2
Ali Saleh, R. Emre Erkmen
AN XFEM BASED MULTISCALE APPROACH TO FRACTURE OF HETEROGENEOUS MEDIA
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 6
Mirmohammadreza Kabiri, Franck J. Vernerey
EXTENSIONS OF THE TWO-SCALE GENERALIZED FINITE ELEMENT METHOD TO NONLINEAR FRACTURE PROBLEMS
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 6
Armando Duarte, Dae-Jin Kim, Varun Gupta