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wei ji xian xing dan xing dong li xue zhong de shou heng ding lv he tiao bian tiao jian
Author(s): 
Pages: 271-279
Year: Issue:  3
Journal: Chinese Journal of Theoretical and Applied Mechanics

Keyword:  守恒定律线性弹性动力学跳变条件物体力微极弹性固体Lagrange方程广义Noether定理不变性无穷小连续介质理论;
Abstract: 本文把Knowles和Sternberg,Fletcher和Jari的思想推广到微极线性弹性动力学的情况中去。首先,我们扩展了Bessel-Hagen关于散度不变性的概念,并证明了两个广义Noether定理。然后应用它们和Eringen法找到了微极线性弹性动力学的一组包括物体力和物体力偶在内的守恒定律和伴随的跳变条件,其中后三对是新的。最后,对于各向同性微极线性弹性固体,我们证明了这组守恒定律的完整性。
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