SYMMETRIC-HYPERBOLIC EQUATIONS OF MOTION FOR A HYPERELASTIC MATERIAL

SYMMETRIC-HYPERBOLIC EQUATIONS OF MOTION FOR A HYPERELASTIC MATERIAL
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超弹性材料的对称双曲运动方程

DOI:
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发表时间:
2009
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通讯作者:
David Wagner
David Wagner
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作者:
David Wagner

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我们提供了一个替代推导的双曲-双曲制定的超弹性材料与polyconvex存储能量的运动方程。推导清楚地表明,扩展系统是等价的,弱的解决方案,原来的系统。我们考虑运动的变量以及恒定的温度。此外,我们提出了等价的欧拉运动方程,这也是双曲型。
We offer an alternate derivation for the symmetric-hyperbolic formulation of the equations of motion for a hyperelastic material with polyconvex stored energy. The derivation makes it clear that the expanded system is equivalent, for weak solutions, to the original system. We consider motions with variable as well as constant temperature. In addition, we present equivalent Eulerian equations of motion, which are also symmetric-hyperbolic.