A GENERALIZATION OF THE MINIMUM PRINCIPLE ENERGY FOR COSSERAT POROUS MATERIALS

Marin MARIN, Sorin VLASE, Lavinia CODARCEA-MUNTEANU, Adina CHIRILĂ

Abstract


Our study is a generalization of the minimum principle energy obtained by Ieșan and Quintanilla for microstretch elastic bodies. By this extension we wish to cover the theory of Cosserat bodies with voids. In this new context we formulate the boundary value problem and we demonstrate through an accessible method a uniqueness result for the solution to this problem. As a main result, we also prove an extension of the principle of minimum potential  energy..

Key words: elastostatics, dipolar bodies, stretch, minimum principle


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References


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