Linear stress-strain relations in nonlinear elasticity
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作者:
Chiskis, A
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Tel Aviv Univ, Fac Engn, Dept Solid Mech Mat & Struct, IL-69978 Ramat Aviv, IsraelTel Aviv Univ, Fac Engn, Dept Solid Mech Mat & Struct, IL-69978 Ramat Aviv, Israel
Chiskis, A
[1
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Parnes, R
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Tel Aviv Univ, Fac Engn, Dept Solid Mech Mat & Struct, IL-69978 Ramat Aviv, IsraelTel Aviv Univ, Fac Engn, Dept Solid Mech Mat & Struct, IL-69978 Ramat Aviv, Israel
Parnes, R
[1
]
机构:
[1] Tel Aviv Univ, Fac Engn, Dept Solid Mech Mat & Struct, IL-69978 Ramat Aviv, Israel
Nonlinear strain measures which are compatible with the existence of an elastic potential and lead to a linear stress-strain relation are obtained. An unusual property of these measures is their dependence on material parameters. Standard strain measures commonly used in nonlinear elasticity are shown to be consistent with linear stress-strain relations only for particular cases of Poisson's ratio. Corresponding potentials for these cases are presented.
机构:
Technion Israel Inst Technol, Fac Civil & Environm Engn, IL-32000 Haifa, IsraelTechnion Israel Inst Technol, Fac Civil & Environm Engn, IL-32000 Haifa, Israel