A comment on ‘The trousers fracture test for viscoelastic elastomers’, JAM 90(7), 071010, 2023

Michele Ciavarella
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Abstract

The Rivlin-Thomas classical energy balance model for tearing tests suggests that the fracture energy G is proportional to the work of the external load in the legs (potential energy), for not too large stretches in the legs, so the increase of G with loading rate is observed or measured, but not really explained by the model. Shrimali & Lopez-Pamies (SLP) have recently built a theory on viscoelastic fracture from recent experimental evidence of a critical (stretch rate independent) stretch on nucleation of cracks in pure shear tests. The theory in other words incorporates this evidence in an otherwise energy based criterion. In the paper “The trousers fracture test for viscoelastic elastomers”, JAM 90(7), 071010, 2023, they seem to obtain the critical (stretch rate independent) stretch condition for the case of trouser tests (applying their theory from a long enough crack) both in nucleation and steady state propagation. This outcome seems reasonable since for a linear material, looking at the elastic limit cases of very slow and very fast rate it would produce an increase of the load, and hence of the fracture energy, proportional to the increase of the modulus, which is in line with what has been found experimentally, although possibly in contrast with classical theories.
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对 "粘弹性弹性体的裤管断裂测试 "的评论,《机械工程学报》90(7),071010,2023 年
用于撕裂试验的 Rivlin-Thomas 经典能量平衡模型表明,在支腿拉伸不太大的情况下,断裂能 G 与支腿外部载荷的功(势能)成正比。Shrimali 和 Lopez-Pamies (SLP) 最近根据纯剪切试验中裂纹成核的临界拉伸(与拉伸速率无关)的最新实验证据,建立了粘弹性断裂理论。换句话说,该理论将这一证据纳入了以能量为基础的标准中。在论文 "粘弹性弹性体的裤管断裂测试"(JAM 90(7),071010,2023)中,他们似乎获得了裤管测试(从足够长的裂缝中应用他们的理论)在成核和稳态扩展中的临界(与拉伸率无关)拉伸条件。这一结果似乎是合理的,因为对于线性材料来说,在极慢和极快拉伸率的弹性极限情况下,会产生与模量增加成正比的载荷增加,进而产生与模量增加成正比的断裂能量增加,这与实验发现的结果是一致的,尽管可能与经典理论相反。
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