TY - GEN AB - This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail. AU - Silbermann, Christian B. AU - Baitsch, Matthias. AU - Ihlemann, Jörn. CN - QD933 CY - Cham : DA - 2021. DO - 10.1007/978-3-030-63696-8 DO - doi ID - 1434800 KW - Crystals KW - Continuum mechanics. KW - Mécanique des milieux continus. LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-63696-8 N2 - This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail. PB - Springer, PP - Cham : PY - 2021. SN - 9783030636968 SN - 3030636968 T1 - Introduction to geometrically nonlinear continuum dislocation theory :FE implementation and application on subgrain formation in cubic single crystals under large strains / TI - Introduction to geometrically nonlinear continuum dislocation theory :FE implementation and application on subgrain formation in cubic single crystals under large strains / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-63696-8 ER -