Z. P. Ba?ant, T. Belytschko and T. Chang, “Continuum Theory for Strain-Softening,” Journal of Engineering Mechanics, Vol. 110, No. 12, 1984, pp. 1666-1692. http://dx.doi.org/10.1061/(ASCE)0733-9399(1984)110:12(1666)

has been cited by the following article:

• 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.