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The principle of virtual work and its dual for contact problems. (English) Zbl 0595.73124
Summary: In the first half of this paper, the variational inequalities of virtual work and its dual, the complementary virtual work are formulated for frictional contact problems with large deformations without restriction on the material properties of the bulk material. Care has been taken to formulate as many as possible terms as variations of a functional. Only the terms involving the frictional traction bound are excepted. Next the significance of the theory for the calculation of frictional contact is discussed.

MSC:
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
49J40 Variational inequalities
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