An approach of numerical modeling of heterogeneous, functionally graded materials, by using the finite element method, is proposed. The variational formulation is derived from the generic case so that the implementation of material coefficients, which are functions in space, is realized without any further assumptions. An analytical solution for a simple case is presented and used for validation of the numerical model.
- functionally graded materials
- variational formulation
- finite element method
- heterogenous materials
Abali, B. E., Völlmecke, C., Woodward, B., Kashtalyan, M., Guz, I., & Müller, W. (2012). Numerical modeling of functionally graded materials using a variational formulation. Continuum Mechanics and Thermodynamics, 24(4-6), 377-390. https://doi.org/10.1007/s00161-012-0244-y