Configuration dependent pressure potentials

Journal of Elasticity - Tập 19 - Trang 77-84 - 1988
Dawn Fisher1
1Department of Mathematics and Computer Science, James Madison University, Harrisonburg, USA

Tóm tắt

Elementary vector methods and the path-independent definition of a conservative force are used to show that a position dependent pressure p on a closed surface is conservative and has the potential ∫R dV, where R is the region bounded by the surface. A useful definition of tensor cross product is introduced.

Tài liệu tham khảo

G. Romano, Potential operators and conservative systems, meccanica, 7 (1972) 141–146. H. Bufler, Pressure loaded structures undre large deformations, Z. angew. Math. und Mech. 64 (1984) 7, 287–295. H. Bufler, Zur Potentialeigenschaft der von einer Flüssigkeit herrührenden Druckbelastung. Z. Angew. Math. und Mech. 65 (1985) 4, 130–132.