On conservation integrals in micropolar elasticity

On conservation integrals in micropolar elasticity
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DOI:
10.1080/1478643031000072491
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发表时间:
2003-01
影响因子:
1.6
通讯作者:
V. Lubarda;X. Markenscoff
V. Lubarda;X. Markenscoff
中科院分区:
材料科学3区
文献类型:
--
作者:
V. Lubarda;X. Markenscoff

文献摘要

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在Noether不变变分原理的框架下,导出了两个非线性微极弹性守恒定律(Jk=0和Lk=0),从而推广了前人关于偶应力弹性的结果。导出了线微极弹性力学的两个非守恒M型积分,并讨论了它们的值。并与相关工作进行了比较。
Two conservation laws of nonlinear micropolar elasticity (Jk = 0 and Lk = 0) are derived within the framework of the Noether theorem on invariant variational principles, thereby extending the earlier authors' results from the couple stress elasticity. Two non-conserved M-type integrals of linear micropolar elasticity are then derived and their values discussed. A comparison with related work is also given.