WIT Press


Numerical Computations For Damage Of Elastic Materials

Price

Free (open access)

Paper DOI

10.2495/BT990281

Volume

23

Pages

10

Published

1999

Size

799 kb

Author(s)

C.Y. Chan and L. Ke

Abstract

An efficient numerical method using radial basis functions is developed to simulate the evolution of a damage process in elastic materials caused by compression and tension. An estimate of the critical parameters for the total damage is discussed. 1 Introduction Let us consider a one-dimensional rod of length a. It is fixed at its left end while a traction acts on its right end. Let v(x,i) be the displacement and u(x,i] be the damage. When u = 1, the material is undamaged; when u — 0, it is completely damaged, that is, the rod is broken. When 0 < u < 1, the material has some open cracks, but it retains its elastic behavior (with modified (softer) elastic moduli). Let Ey be the Young's modulus of the material, /<, be the density (per unit length) of the applied forces, c (> 0) be the

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