Course Contents
This lecture deals with fundamentals of micromechanics in the framework of elasticity and plasticity theory. Important topics include: Basics of elasticity, defect mechanics, plasticity, crystal plasticity, Theory of configurational force, Micro-macro transition and homogenization, and phase-field theory and phase-field fracture modeling.
Literature
1. Cai W., & W.D. Nix; Imperfections in Crystalline Solids, Cambridge, 2016
2. Gross D., Seelig T.; Fracture Mechanics with an Introduction to Micromechanics,
2nd Edi. 2011
3. Le, Khan Chau; Introduction to Micromechanics, Nova Science Publ, 2010
4. Mura, T.; Micromechanics of Defects in Solids, Martinus Nijho_ Publishers 1982
5. Zohdi T.I., &Wriggers P.; An Introduction to Computational Micromechanics, Springer, 2004
6. Weertman, J.; Dislocation based fracture mechanics, World Scienti_c 1996
7. Provatas, N., Elder, K.; Phase-Field Methods in Materials Science and Engineering,
Wiley-VCH Verlag GmbH & Co. KGaA, 2010
Preconditions
Basic knowledge on mathematics and mechanics.
Official Course Description
The successful students can interpret the elastic and plastic behavior of a material using the continuum theory, and describe the stress situation around certain microstructure e.g. at crack tips and near defects. They can also apply the basic concept of homogenization to calculate the effective properties of heterogeneous material. They will have the competence to follow advanced textbooks and scientific literature on nonlinear continuum mechanics and composite mechanics.
This lecture deals with fundamentals of micromechanics in the framework of elasticity and plasticity theory. Important topics include: Basics of elasticity, defect mechanics, plasticity, crystal plasticity, Theory of configurational force, Micro-macro transition and homogenization, and phase-field theory and phase-field fracture modeling.
Literature
1. Cai W., & W.D. Nix; Imperfections in Crystalline Solids, Cambridge, 2016
2. Gross D., Seelig T.; Fracture Mechanics with an Introduction to Micromechanics,
2nd Edi. 2011
3. Le, Khan Chau; Introduction to Micromechanics, Nova Science Publ, 2010
4. Mura, T.; Micromechanics of Defects in Solids, Martinus Nijho_ Publishers 1982
5. Zohdi T.I., &Wriggers P.; An Introduction to Computational Micromechanics, Springer, 2004
6. Weertman, J.; Dislocation based fracture mechanics, World Scienti_c 1996
7. Provatas, N., Elder, K.; Phase-Field Methods in Materials Science and Engineering,
Wiley-VCH Verlag GmbH & Co. KGaA, 2010
Preconditions
Basic knowledge on mathematics and mechanics.
Official Course Description
The successful students can interpret the elastic and plastic behavior of a material using the continuum theory, and describe the stress situation around certain microstructure e.g. at crack tips and near defects. They can also apply the basic concept of homogenization to calculate the effective properties of heterogeneous material. They will have the competence to follow advanced textbooks and scientific literature on nonlinear continuum mechanics and composite mechanics.
- Lehrende: Xianglong Peng
- Lehrende: Baixiang Xu
Semester: WT 2023/24