Engineering Transactions, 67, 2, pp. 213–226, 2019

Response Surfaces in the Numerical Homogenization of Non-Linear Porous Materials

Silesian University of Technology

Silesian University of Technology

The paper deals with the numerical homogenization of structures made of non-linear porous material. Material non-linearity causes a significant increase in computational costs for numerical homogenization procedure. An application of the response surface methodology allows a significant reduction of the computational effort providing good approximation precision. Finite element method commercial software is employed to solve the boundary-value problem in both scales. Due to the significant reduction in computing time, the proposed attitude may be applied for different optimization and identification tasks for inhomogeneous, non-linear media, especially with the use of global optimization methods.
Keywords: numerical homogenization; response surface; porous material; non-linear material
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DOI: 10.24423/EngTrans.1012.20190502