A damage mechanics approach to stress softening and its application to rubber |
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| Authors: | Antonio DeSimone Jean-Jacques Marigo Luciano Teresi |
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| Affiliation: | a Max Plank Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany;b Dip. Ingegneria Strutturale, Politecnico di Bari, Italy;c L.P.M.T.M. université Paris 13, avenue J.B. Clément, 93430 Villetaneuse, France;d Dip. di Scienze dell'Ingegneria Civile, Università degli Studi “Roma Tre”, Via C. Segre 60, 00146 Rome, Italy |
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| Abstract: | We analyze stress softening phenomena within the framework of the ‘generalized standard material’ based on the notion of a ‘normal dissipative mechanism’. We prove that the monotonicity properties of the ‘yield function’ governing such mechanism lead to local and global uniqueness of the response. Applications to oscillators with a single degree of freedom, whose anharmonic spring exhibits stress softening, are also presented. |
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