Summary
A continuum theory for composite materials is presented in which the composite constituents are modeled by superimposed continua which undergo thermal and mechanical interactions. Kinematical notions, field equations and a constitutive theory are developed, including consequences of material frame indifference and material symmetry which restrict the form of the response functions. The final result is a set of linearized equations for thermal and mechanical processes in laminated or fiber reinforced composite elastic materials.
Zusammenfassung
Eine Kontinuumstheorie dev Verbundwerkstoffe wird angegeben in der die einzelnen Bestandteile durch überlagerte Kontinuen, die sich thermisch und mechanisch beeinflussen, dargestellt werden. Kinematische Begriffe, Feldgleichungen und eine Werkstofftheorie werden entwickelt einschließlich der Folgerungen aus dem Prinzip der Bezugsindifferenz und der Werkstoffsymmetrie. Das Resultat besteht aus einem System, von linearisierten Gleichungen für thermische und mechanische Prozesse in geschichteten oder faserverstärkten elastischen Verbundwerkstoffen.
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Bedford, A., Stern, M. A multi-continuum theory for composite elastic materials. Acta Mechanica 14, 85–102 (1972). https://doi.org/10.1007/BF01184851
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DOI: https://doi.org/10.1007/BF01184851