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Abstract: The paper is concerned with the plane strain of homogeneous and isotropic microstretch elastic bodies. We give a new representation of the solution in terms of complex potentials. The method is useful for the treatment of the constitutive equations established by Eringen in [A.C. Eringen, Microcontinuum Field Theories. I. Foundations and Solids, Springer-Verlag, New York, 1999], where the introduction of stress functions leads to difficulties. The complex variable technique is used to study Kirsch problem in the context of the theory presented in [A.C. Eringen, Microcontinuum Field Theories. I. Foundations and Solids, Springer-Verlag, New York, 1999]. [Copyright &y& Elsevier]

Abstract: The paper deals with the problem of heat flow in a micromorphic continua with microtemperatures. The master balance laws of micromorphic continua established by Eringen [Int. J. Eng. Sci. 8 (1970) 819] and the entropy balance postulated by Green and Naghdi [Proc. R. Soc. Lond. A 357 (1977) 253] are used to obtain a new theory of heat for materials with inner structure. The theory permits propagation of heat as thermal waves at finite speed. In the framework of the linear theory a uniqueness result and a solution of Galerkin type are established. The effect of concentrated loads is also studied. [Copyright &y& Elsevier]