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Finite Deformation Fracture of Tires

机译:轮胎的有限变形断裂

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The recent well publicized failures of the Firestone ATX tire has brought to light the poor state of research into the basic physical causes of such failures and the poor state of research into analytic methods suitable for analyzing such failures. The essence of problems of this nature lies in the finite deformation fatigue fracture of elastomers at large strains. The definition of failure criteria is further complicated by the issue of material aging. The computational problem itself is rather demanding due to the truly 3-D nature of the tire system under load. In particular, the computation of the failure forces (the singular energy momentum tractions) is rather challenging due to the spinning reference state normally utilized in tire analysis. In this paper we present a suitable numerical formulation for computing energy release rates in cracked tires and apply this to the question of the effect of varying inter-belt ply gauges. It is found that the energy release rates increase in the example tire for an increasing inter-belt gauge which seems to be in contradiction to the typical field experience of longer life for larger gauges. The contradiction however can be explained through a size effect argument related to the process zone around the crack-tip which causes the critical energy release rate to increase with gauge at a rate faster than the available energy release rate.
机译:近期广为人知的凡士通ATX轮胎故障已暴露出对此类故障的基本物理原因的研究状况较差,而对适用于分析此类故障的分析方法的研究状况较差。这种性质的问题的实质在于弹性体在大应变下的有限变形疲劳断裂。材料老化问题使失效标准的定义更加复杂。由于轮胎系统在负载下具有真正的3D性质,因此计算问题本身就相当苛刻。特别地,由于通常在轮胎分析中使用的旋转参考状态,计算破坏力(奇异能量动量牵引力)非常具有挑战性。在本文中,我们提出了一种适合的数值公式,用于计算裂化轮胎的能量释放率,并将其应用于变化的皮带间帘布层规的影响问题。发现在示例性轮胎中,随着带间规的增加,能量释放速率增加,这似乎与较大规的更长寿命的典型现场经验相矛盾。然而,可以通过与裂纹尖端周围的过程区域相关的尺寸效应论点来解释该矛盾,这导致临界能量释放速率随应变仪以比可用能量释放速率快的速率增加。

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