A computational multi-scale approach for brittle materials / / Felix Ernesti.

• VerfasserIn: Ernesti, Felix,
• Place / Publishing House: Karlsruhe : : KIT Scientific Publishing,, 2023.
• Year of Publication: 2023
• Language: German
• Series: Schriftenreihe Kontinuumsmechanik im Maschinenbau
• Physical Description: 1 online resource (x, 239 pages).

Materials of industrial interest often show a complex microstructure which directly influences their macroscopic material behavior. For simulations on the component scale, multi-scale methods may exploit this microstructural information. This work is devoted to a multi-scale approach for brittle materials. Based on a homogenization result for free discontinuity problems, we present FFT-based methods to compute the effective crack energy of heterogeneous materials with complex microstructures.

Table of Contents

Introduction -- 1 -- Fundamental concepts -- 7 -- Characterizing digital microstructures by the Minkowskibased QNT -- 55 -- Computing the effective crack energy on a combinatorially consistent grid -- 99 -- The effective crack energy of heterogeneous and locally anisotropic microstructures -- 137 -- On the influence of the boundary conditions when computing the effective crack energy -- 163 -- Summary and conclusions -- 191 -- Minkowski tensors for specific shapes -- 201 -- Performance of additional penalty factor choices for ADMM -- 205 -- Bibliography -- 207 -- Copyright.