微极原弹性物质体理论和非局部微极弹性介质的本构方程
On a Theory of Micropolar Protoelastic Material Bodies and Constitutive Equations for Nonlocal Micropolar Elastic Continua
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摘要: 本文提出了微极原弹性物质体的定义并利用虚功率原理导出了该类物质体的变分原理.利用上述同样思想和这里给出的微极原势的定义很自然地导出了非局部微极弹性介质的本构方程.Abstract: In this paper the definition of micropolar protoelastic material bodies is given and with the help of the principle of virtual power, the variational principle of those bodies is derived. In terms of that same idea and the definition of micropolar protopotential presented here, the constitutive equations for nonlocal micropolar elastic continue are naturally derived.
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[1] Edelen,D.G.B.,ARMA 34(1969),283. [2] Edelen,D.G.B.,Nonlocal field theories,Continuum Physics(Eringen,A.C.,ed.)Vol.4(1976). [3] Eringen,A.C.,Nonlocal Polar Field Theories,ibid. [4] Eringen,A.C.and Kafadar,C.B.,Polar Field Theories,ibid. [5] Germain,P.,J.Mecan.12(1973),235. [6] Germain,P.,SJAM J.Appl.Math.25(1973),556. [7] Eringen,A.C.and Edelen,D.G.B.,IJES 10(1972),233. -
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