摘要
本文通过变分途径建立了变形梯度张量的极分解和加法分解之间的联系.采用工程界通常采用的变形梯度张量的加法分解形式,得到了三维空间中极分解的转动张量和伸长张量的直接表示,即实现了转动和变形的分离.由这些直接表示,可以得到各种有用的近似表示.
Through a variational approach,the passage from the additive decomposition to polar decomposi-tion of deformation gradient has been completed.An exact formula of the rotation tensor in the polardecomposition is obtained in terms of the additive decomposition.The formula is fundamental incomtinuum mechanics and is useful in the theory of shells and plates for establishing approximate ex-pressions.
出处
《固体力学学报》
CAS
CSCD
北大核心
1992年第4期285-291,共7页
Chinese Journal of Solid Mechanics
关键词
变形梯度张量
极分解
转动张量
deformation gradient
polar decomposition
rotation tensor
exact representation
