Some results on the nonlinear theory of dipolar porous elastic solids (Q1262034)

The authors studied the existence and uniqueness theorems within the framework of the nonlinear theory of porous elastic solids with microstructure. For this they used the field equations and boundary conditions of a nonlinear theory of dipolar elastic materials with voids developed by the first author as his Ph. D. thesis. Here they extended the \textit{I. Beju}'s result developed for the classical nonlinear theory of elasticity [see, e.g. Bull. Math. Soc. Sci. Math. Repub. Soc. Roum., Nouv. Ser. 17(65), (1973), 339-353 (1975; Zbl 0383.73018)] to multipolar materials. They used the convexity of the strain energy function. This work might be useful for those researchers working in the area of finite elasticity.