A computational multi-scale approach for brittle materials

• Format: eBook
• Language: English
• Published: KIT Scientific Publishing 2023
• Series: Schriftenreihe Kontinuumsmechanik im Maschinenbau
• Subjects: Effektive Rissenergie; FFT-basierte Homogenisierungsmethoden; Phasenfeld-Bruchmechanik; Minkowski-Tensoren; Fast-Marching-Methoden; Effective crack energy; FFT-based computational homogenization; Phase-field fracture; Minkowski tensors; Fast marching methods; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials
• Online Access: Open Access: DOAB: description of the publication; Open Access: DOAB, download the publication
• Physical Description: 1 online resource (264 p.)
• ISBN: KSP/1000156458
• Access: Open Access

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.