Heinz Engl, Christoph Stangl,
"Existence and uniqueness of solutions of the equilibrium equations for a class of nonlinearly elastic materials"
, 1998, H.W. Engl and C. Stangl, Existence and uniqueness of solutions of the equilibrium equations for a class of nonlinearly elastic materials, ZAMM
78 (1998), 467-481
Original Titel:
Existence and uniqueness of solutions of the equilibrium equations for a class of nonlinearly elastic materials
Sprache des Titels:
Englisch
Englischer Titel:
Existence and uniqueness of solutions of the equilibrium equations for a class of nonlinearly elastic materials
Englische Kurzfassung:
This paper is motivated by an industrial project concerning structural optimization problems for nonlinearly elastic materials arising from car industry. The investigated class of material laws covers a type of
nonlinear materials, especially gray cast iron that is used in car engines. For such materials we prove the existence and uniqueness of solutions of the equilibrium equations. Based on this work, algorithms for solving sizing optimization problems for nonlinearly elastic materials will be presented in a subsequent paper. Although the results presented here are connected to
structural optimization problems, they are also of interest on their own in the existence theory of nonlinear continuum mechanics.
Erscheinungsjahr:
1998
Notiz zum Zitat:
H.W. Engl and C. Stangl, Existence and uniqueness of solutions of the equilibrium equations for a class of nonlinearly elastic materials, ZAMM
78 (1998), 467-481
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift
Forschungs-