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M. G. D. Geers, R. de Borst, W. A. M. Brekelmans and R. H. J. Peerlings, “Strain-Based Transient-Gradient Damage Model for Failure Analyses,” Computer Methods in Applied Mechanics and Engineering, Vol. 160, No. 1-2, 1998, pp. 133-153. http://dx.doi.org/10.1016/S0045-7825(98)80011-X

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.