中文摘要：

根据非关联流动法则和Drucker-Pranger屈服准则，考虑剪胀角对煤壁内塑性破坏区宽度的影响，理论推导出煤壁内塑性破坏区的应力分布的解析式和塑性破坏区宽度的计算公式。并采用单因素分析法，与Mohr-Coulomb准则导出结果进行比较，探讨影响塑性破坏区宽度的相关因素。结果表明：剪胀角对煤壁内塑性破坏区的宽度具有一定的影响，而且在相同情况下考虑剪胀角计算出解比根据Mohr-Coulomb准则计算出的解大。因此，适当的考虑剪胀角可以确保工程实践的安全性。

英文摘要：

According to the non associated flow rule and the Drucker-Prager yield criterion, considering influence of dilatancy angle on the width of the plastic failure zone, the analytical formula of the stress distribution in the plastic failure zone and the calculation formula of the width of the plastic failure zone are derived. Applying the single factor analysis method, the results are compared with that deduced by the Molar-Coulomb criteria, exploring the related factors affecting the width of plastic damage zone. The results prove that the dilatancy angle has certain influence on the plastic damage zone width. In the same case, the width of the plastic damage zone calculated by the dilatancy angle is larger than that calculated by the Mohr-Coulomb criterion. Therefore, proper consideration of the dilatancy angle can ensure the safety of engineering practice.