Probabilistic energy based model for prediction of transverse cracking in cross-ply laminates
Probabilistic energy based model for prediction of transverse cracking in cross-ply laminates
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DOI：
10.1016/j.ijsolstr.2004.06.043
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发表时间：
2005
影响因子：
3.6
通讯作者：
V. Vinogradov;Z. Hashin
中科院分区：
文献类型：
--
作者：
V. Vinogradov;Z. Hashin
在本文中，试图描述受外部载荷和温度变化影响的交叉层合板（[0°n/90°m]s）的横向开裂。为此提出了一种新的方法，该方法是在[Hashin， Z.， 1996]提出的基于能量平衡的有限断裂准则的基础上发展起来的。j .机械工程。理论物理。固体44,1129]。在这种方法中，假设比表面能（临界能量释放率）的值依赖于材料中的随机微损伤分布。因此，假定它是位置的随机函数。为了考虑这种随机性，开发了一种新的概率技术。结果表明，只需要一个未知的概率函数，即比表面能的概率密度函数。这是通过将外部应力和相应的裂纹密度拟合到任何特定层压系统的实验数据来确定的。用所建议的方法可以预测由相同材料制成的任何其他层压板的开裂过程。通过对渐进式裂纹过程的数值模拟，给出了裂纹间距离的概率密度函数以及裂纹密度随外载荷增加的增长规律。提出了一种简单的概率渐进开裂判据。对不同层压板的裂纹密度增长进行了预测，与已发表的实验结果吻合较好。
In the present paper an attempt is made to describe transverse cracking of cross-ply ([0°n/90°m]s) laminates subjected to an external applied load and a temperature change. For this purpose a new method is suggested which was developed on the basis of the energy balance based finite fracture criterion suggested by [Hashin, Z., 1996. J. Mech. Phys. Solids 44, 1129]. In this approach the value of the specific surface energy (the critical energy release rate) is assumed to be dependent on a random microdamage distribution in the material. Hence, it is assumed to be a random function of location. A new probabilistic technique is developed to take this randomness into consideration. It is shown that only one unknown probabilistic function is required, namely the probability density function of the specific surface energy. This is determined by fitting the external stress and the corresponding crack density to experimental data for any specific laminated system. The cracking process for any other laminate made of the same material may be predicted by the suggested method. Numerical simulation of progressive cracking process is described, which provides the probability density function for inter-crack distances as well as the crack density growth with increasing external loading. A simple probabilistic progressive cracking criterion is developed as well. The predicted crack density growth calculated for various laminates is in good agreement with published experimental results.