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   <subfield code="a">A rate dependent kinetic theory of fracture for polymers</subfield>
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   <subfield code="a">In this paper we develop a rate dependent theory of fracture for polymers valid for variable stress histories. The theory is developed within the framework of the kinetic theory of fracture of solids and compared to experiments for variable stress history loadings. A significant aspect of the theory is the introduction of a crack damage state variable which quantifies submicroscopic crack damage prior to macroscopic failure of the material. A first order differential equation governing the time evolution of the crack damage variable is developed based on first principles of statistical physics. The theory is shown to accurately predict the ultimate stress of polymethyl-methacrylate for constant stress rate loadings ranging over 5 orders of magnitude as well as variable stress histories which include creep and stress rate conditions. Furthermore, the theory predicts qualitatively correct results for submicrocrack concentration under both constant stress and constant stress rate conditions.</subfield>
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