TITLE:
Development of a Bi-Material Representative Volume Element Using Damaged Homogenisation Approach
AUTHORS:
Ali Jelvehpour, Manicka Dhanasekar
KEYWORDS:
Transient Gradient Non-Local; Homogenisation; Damage Mechanics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.6,
November
28,
2013
ABSTRACT:
Most civil engineering
structures are formed using a number of materials that are bonded to each other
with their surface-to-surface interaction playing key role on the overall response
of the structure. Unfortunately these interactions are extremely variable;
simplified and extremely detailed models trialed to date prove quite complex.
Models that assume perfect interaction, on the other hand, predict unsafe
behavior. In this paper a damage mechanics based interaction between
two materials of different softening properties is developed using
homogenisation approach. This paper describes the process of developing a
bi-material representative volume element (RVE) using damaged homogenisation
approach. The novelty in this paper is the development of non-local transient
damage identification algorithm. Numerical examples prove the
stability of the approach for a simplified RVE and encourage application to
other shapes of RVEs.