粘弹性固体中的裂纹扩展
Crack propagation in viscoelastic solids.
作者信息
Persson B N J, Brener E A
机构信息
IFF, FZ-Jülich, 52425 Jülich, Germany.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3 Pt 2A):036123. doi: 10.1103/PhysRevE.71.036123. Epub 2005 Mar 21.
We study crack propagation in a viscoelastic solid. Using simple arguments, we derive equations for the velocity dependence of the crack-tip radius, a (v) , and for the energy per unit area to propagate the crack, G (v) . For a viscoelastic modulus E (omega) which increases as omega(1-s) (0< s< 1) in the transition region between the rubbery region and the glassy region, we find that a (v) approximately G (v) approximately v(alpha) with alpha= (1-s) / (2-s) . The theory is in good agreement with experiment.
我们研究了粘弹性固体中的裂纹扩展。通过简单的论证，我们推导了裂纹尖端半径(a(v))与速度的依赖关系方程，以及裂纹扩展的单位面积能量(G(v))的方程。对于在橡胶态区域和玻璃态区域之间的过渡区域中随(\omega^{(1 - s)})（(0 < s < 1)）增加的粘弹性模量(E(\omega))，我们发现(a(v))近似于(G(v))近似于(v^{\alpha})，其中(\alpha = (1 - s) / (2 - s))。该理论与实验结果吻合良好。
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