软材料中有限振幅的光滑波和冲击
Smooth waves and shocks of finite amplitude in soft materials
摘要：
近年来发展起来的软质材料表现出非线性波传播特性，在能量捕获、冲击缓冲和波聚焦等方面具有潜在的应用价值。本文研究了受横向和轴向冲击复合作用的大变形材料，并研究了由此产生的非线性波。我们确定的影响，预变形和所采用的本构模型的诱导运动的依赖性。我们分析了新Hookean本构模型，并表明它不能捕捉剪切冲击和拉伸诱导的冲击，在软材料的实验结果相比。我们发现，Gent本构模型预测，压缩冲击可能不足以引起一个准压力冲击-但它可能会引起一个准剪切冲击，拉伸冲击可以触发准压力冲击-并可能同时触发一个准剪切冲击，与实验数据一致。我们表明，拉伸冲击必须大于一个计算的阈值，诱导冲击，并表明，这个阈值降低了预剪切的应用。
英文摘要：
Recently developed soft materials exhibit nonlinear wave propagation with potential applications for energy trapping, shock mitigation and wave focusing. We address finitely deformed materials subjected to combined transverse and axial impacts, and study the resultant nonlinear waves. We determine the dependency of the induced motion on the impact, pre-deformation and the employed constitutive models. We analyze the neo-Hookean constitutive model and show it cannot capture shear shocks and tensile-induced shocks, in contrast with experimental results on soft materials. We find that the Gent constitutive model predicts that compressive impact may not be sufficient to induce a quasi-pressure shock---yet it may induce a quasi-shear shock, where tensile impact can trigger quasi-pressure shock ---and may simultaneously trigger a quasi-shear shock, in agreement with experimental data. We show that the tensile impact must be greater than a calculated threshold value to induce shock, and demonstrate that this threshold is lowered by application of pre-shear.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
