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Stress-Strain Measures Used in the ANSYS Package to Solve Elastoplastic Problems at Finite Strains

机译:ANSYS软件包中用于解决有限应变弹塑性问题的应力应变措施

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AbstractIt is shown that the Dienes (or the Green–McInnis–Naghdi) derivative is used in the ANSYS package rather than the Jaumann derivative as an objective derivative for the Cauchy stress tensor when solving elastoplastic problems, although the usage of the Jaumann derivative is stated in the ANSYS theory reference manual. In this manual it is also stated that, for these problems, the strain tensor is the Hencky logarithmic strain tensor; however, in reality, this strain tensor is the right nonholonomic strain tensor such that the left nonholonomic strain tensor associated with the right one is generated by the Dienes derivative.
机译:摘要 表明,在解决弹塑性问题时,ANSYS软件包中使用了二烯(或Green–McInnis–Naghdi)衍生物,而不是Jaumann衍生物作为柯西应力张量的目标导数问题,尽管在ANSYS理论参考手册中说明了Jaumann导数的用法。在本手册中还指出,对于这些问题,应变张量是Hencky对数应变张量;然而,实际上,该应变张量是右非完整应变张量,因此与右方相关的左非完整应变张量是由Dienes衍生物生成的。

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