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Existence and continuous dependence results in the theory of interacting continua

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Abstract

This paper is concerned with the linear theory for binary mixtures of elastic bodies. In the first part of the paper we study boundary-value problems of the equilibrium theory. Existence and uniqueness theorems are established. The second part of the paper is devoted to the dynamic theory. We use the semigroups theory of linear operators to obtain existence and continuous dependence results.

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Authors and Affiliations

  1. Department of Mathematics, University of Iaşi, 6600, Iaşi, Romania

    D. Ieşan

  2. Department of Applied Mathematics II, Polytechnical University of Catalonia, Colom 11, 08222, Terrassa, Barcelona, Spain

    R. Quintanilla

Authors
  1. D. Ieşan
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  2. R. Quintanilla
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Ieşan, D., Quintanilla, R. Existence and continuous dependence results in the theory of interacting continua. J Elasticity 36, 85–98 (1994). https://doi.org/10.1007/BF00042493

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  • DOI: https://doi.org/10.1007/BF00042493

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