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CRACK TIP FIELDS FOR RAPIDLY GROWING CRACKS IN VISCOPLASTIC MATERIALS

机译:粘塑性材料中裂纹快速增长的裂纹尖端场

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摘要

A fast propagating crack in a visco-plastic material of Perzyna-type is considered by two different methods. First, the problem of an semi-infinite crack in an infinite plate is examined. An analytical investigation leads to a system of ordinary differential equations, which is solved numerically by a multiple shooting-method. To prove the physical significance of the resulting crack tip fields a mixed Finite Element formulation is introduced in the second part which is applied to the boundary value problem of a running crack in an infinite strip under steady state conditions. Results regarding to the extension of the dominance zone are presented.
机译:可以通过两种不同的方法来考虑在Perzyna型粘塑性材料中快速传播的裂纹。首先,研究无限板中的半无限裂纹的问题。经过分析研究,得出了一个常微分方程组,该系统可以通过多种射击方法在数值上求解。为了证明产生的裂纹尖端场的物理意义,第二部分引入了混合有限元公式,该公式被应用于稳态条件下无限条带中运行裂纹的边值问题。提出了有关优势区扩展的结果。

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