A generalized hypothesis of elastic energy equivalence in continuum damage mechanics

• Autorzy: Voyiadjis G. Z. , Kattan P. I.
• Języki publikacji: EN

Abstrakty

EN

A new generalized hypothesis of elastic energy equivalence is proposed. The proposed generalized hypothesis is inclusive of all the existing different hypotheses of equivalence in continuum damage mechanics and all are obtained as special cases. Specifically, the hypothesis of elastic strain equivalence and the hypothesis of elastic energy equivalence are obtained as special cases of the generalized hypothesis proposed here. In addition, the generalized hypothesis has some unusual properties when the integer exponent n approaches infinity. In particular, it turns out that the strain energy density function is a vector for even values of the integer exponent. This conclusion is totally unexpected but an attempt is made to explain this result based on geometry.

Słowa kluczowe

EN

damage mechanics; energy equivalence; generalized hypothesis; thermodynamics; vector exponentiation

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2017
• Tom: Vol. 65, iss. 2
• Strony: 351--369
• Opis fizyczny: Bibliogr. 46 poz., rys., tab., wykr.

Twórcy

autor

Voyiadjis G. Z.

• Department of Civil and Environmental Engineering Louisiana State University Baton Rouge, LA 70803, USA

autor

Kattan P. I.

• Independent Researcher, Petra Books PO Box 1392, Amman 11118, Jordan

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).