Computational Homogenisation using Reduced-Order Modelling applied to Hyperelasticity

Soldner D, Brands B, Zabihyan R, Steinmann P, Mergheim J (2016)

Publication Type: Journal article

Publication year: 2016

Journal

Proceedings in Applied Mathematics and Mechanics Gesellschaft für Angewandte Mathematik und Mechanik (GAMM)

Book Volume: 16

Pages Range: 551-552

Journal Issue: 1

DOI: 10.1002/pamm.201610264

Abstract

Within this study nonlinear reduced-order modelling for hyperelastic material is applied for the boundary value problem on the micro-scale which arises in the context of computational homogenisation. This involves the Proper Orthogonal Decomposition and the Discrete Empirical Interpolation Method for the nonlinear term. Considered error measures are the errors of the displacement field, the averaged stresses and the effective elasticity tensor.

Authors with CRIS profile

Dominic Soldner Lehrstuhl für Technische Mechanik Benjamin Brands Lehrstuhl für Technische Mechanik Reza Zabihyan Lehrstuhl für Technische Mechanik Paul Steinmann Lehrstuhl für Technische Mechanik Julia Mergheim Lehrstuhl für Technische Mechanik

Related research project(s)

Macroscopic modeling, simulation, and optimization of the selective beam melting process (C3) (SFB 814 (C3)) CRC 814 - Additive Manufacturing (SFB 814) July 1, 2011 - June 30, 2023

How to cite

APA:

Soldner, D., Brands, B., Zabihyan, R., Steinmann, P., & Mergheim, J. (2016). Computational Homogenisation using Reduced-Order Modelling applied to Hyperelasticity. Proceedings in Applied Mathematics and Mechanics, 16(1), 551-552. https://dx.doi.org/10.1002/pamm.201610264

MLA:

Soldner, Dominic, et al. "Computational Homogenisation using Reduced-Order Modelling applied to Hyperelasticity." Proceedings in Applied Mathematics and Mechanics 16.1 (2016): 551-552.

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