کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498754 | 863011 | 2011 | 17 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks](/preview/png/498754.png)
The existence of a representative volume element (RVE) for a class of quasi-brittle materials having a random heterogeneous microstructure in tensile, shear and mixed mode loading is demonstrated by deriving traction–separation relations, which are objective with respect to RVE size. A computational homogenization based multiscale crack modelling framework, implemented in an FE2 setting, for quasi-brittle solids with complex random microstructure is presented. The objectivity of the macroscopic response to the micro-sample size is shown by numerical simulations. Therefore, a homogenization scheme, which is objective with respect to macroscopic discretization and microscopic sample size, is devised. Numerical examples including a comparison with direct numerical simulation are given to demonstrate the performance of the proposed method.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 9–12, 1 February 2011, Pages 1220–1236