双模量橡胶在弯曲中的早期性能
Bimodular rubber buckles early in bending
摘要：
橡胶块在严重弯曲下最终发生屈曲，弯曲块的内曲面上出现多个轴向褶皱。实验测量表明，屈曲发生早-在较低的压缩应变-比理论预测。本文表明，如果橡胶被建模为双模，具体地说，作为刚性在压缩比在拉伸，然后弯曲分叉确实发生在较低水平的压缩应变比以前的调查预测（这些包括考虑到有限尺寸效应，压缩性效应和应变硬化效应）。在这里，双模块化的增量屈曲理论的影响进行了研究，分叉方程，数值方法，色散曲线，和字段的变化，并进行了讨论。还可以看出，有限元分析软件似乎无法以现实的方式涵盖橡胶块的弯曲不稳定现象。
英文摘要：
A block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. Experimental measurements reveal that the buckling occurs earlier ---at lower compressive strains--- than expected from theoretical predictions. This paper shows that if rubber is modeled as being bimodular, and specifically, as being stiffer in compression than in tension, then flexure bifurcation happens indeed at lower levels of compressive strain than predicted by previous investigations (these included taking into account finite size effects, compressibility effects, and strain-stiffening effects.) Here the effect of bimodularity is investigated within the theory of incremental buckling, and bifurcation equations, numerical methods, dispersion curves, and field variations are presented and discussed. It is also seen that Finite Element Analysis software seems to be unable to encompass in a realistic manner the phenomenon of bending instability for rubber blocks.
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