Aspects of computational homogenization in magneto-mechanics: Boundary conditions, RVE size and microstructure composition

Zabihyan R, Mergheim J, Javili A, Steinmann P (2018)

Publication Type: Journal article

Publication year: 2018

Journal

International Journal of Solids and Structures Elsevier

Book Volume: 130-131

Pages Range: 105-121

DOI: 10.1016/j.ijsolstr.2017.10.009

Abstract

In the present work, the behavior of heterogeneous magnetorheological composites subjected to large deformations and external magnetic fields is studied. Computational homogenization is used to derive the macroscopic material response from the averaged response of the underlying microstructure. The microstructure consists of two materials and is far smaller than the characteristic length of the macroscopic problem. Different types of boundary conditions based on the primary variables of the magneto-elastic enthalpy and internal energy functionals are applied to solve the problem at the micro-scale. The overall responses of the RVEs with different sizes and particle distributions are studied under different loads and magnetic fields. The results indicate that the application of each set of boundary conditions presents different macroscopic responses. However, increasing the size of the RVE, solutions from different boundary conditions get closer to each other and converge to the response obtained from periodic boundary conditions.

Authors with CRIS profile

Reza Zabihyan Lehrstuhl für Technische Mechanik Julia Mergheim Lehrstuhl für Technische Mechanik Paul Steinmann Lehrstuhl für Technische Mechanik

Involved external institutions

Bilkent University / Bilkent Üniversitesi TR Turkey (TR)

How to cite

APA:

Zabihyan, R., Mergheim, J., Javili, A., & Steinmann, P. (2018). Aspects of computational homogenization in magneto-mechanics: Boundary conditions, RVE size and microstructure composition. International Journal of Solids and Structures, 130-131, 105-121. https://dx.doi.org/10.1016/j.ijsolstr.2017.10.009

MLA:

Zabihyan, Reza, et al. "Aspects of computational homogenization in magneto-mechanics: Boundary conditions, RVE size and microstructure composition." International Journal of Solids and Structures 130-131 (2018): 105-121.

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