caa a22 4500 469080795 CHVBK 20180323132949.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01176649 doi (NATIONALLICENCE)springer-10.1007/BF01176649 New types of variational principles based on the notion of quasidifferentiability [Elektronische Daten] [P. Panagiotopoulos, G. Stavroulakis] Summary: In this paper several new types of variational principles are derived by using the new mathematical notion of quasidifferentiability. As a model problem we consider the static analysis problem of deformable bodies subjected to nonmonotone boundary and interface conditions. The nonmonotone laws are produced from appropriately defined nonsmooth and, nonconvex, quasidifferentiable superpotentials by means of the quasidifferential operator in the sense of V. F. Dem'yanov. The static analysis problem is formulated as a system of variational inequalities which is equivalent, minmax formulation, or equivalently as a multivalued quasidifferential inclusion problem which describes the positions(s) of static equilibrium of the body. The theory is illustrated by numerical examples concerning the calculation of adhesive joints. Springer-Verlag, 1992 Panagiotopoulos P. School of Technology, Aristotle University, GR-54006, Thessaloniki, Greece aut Stavroulakis G. School of Technology, Aristotle University, GR-54006, Thessaloniki, Greece aut Acta Mechanica Springer-Verlag 94/3-4(1992-09-01), 171-194 0001-5970 94:3-4<171 1992 94 707 https://doi.org/10.1007/BF01176649 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01176649 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Panagiotopoulos P. School of Technology, Aristotle University, GR-54006, Thessaloniki, Greece aut NATIONALLICENCE 700 1- Stavroulakis G. School of Technology, Aristotle University, GR-54006, Thessaloniki, Greece aut NATIONALLICENCE 773 0- Acta Mechanica Springer-Verlag 94/3-4(1992-09-01), 171-194 0001-5970 94:3-4<171 1992 94 707 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer