含基体横向损伤的黏弹性板的蠕变后屈曲分析

基于Schapery三维黏弹性损伤本构关系，引入沈为和Kachanov损伤演化方程，建立了基体横向损伤的纤维单一方向铺设黏弹性板的损伤模型；应用von Karman板理论，导出了考虑损伤效应的具初始挠度的纤维单一方向铺设黏弹性矩形板的非线性压屈平衡方程. 对未知变量在空间上采用差分法离散，时间上采用增量算法和Newton-Cotes积分法离散，控制方程被迭代求解. 算例中讨论了损伤以及有关参数对黏弹性复合材料板后屈曲行为的影响，且与已有文献的结果进行了比较. 数值结果表明：随着外载荷或者初始挠度的增大，板后屈曲趋于稳定时的挠度就愈大，损伤的影响愈明显；而随着长宽比的增大，板后屈曲趋于稳定时的挠度愈小，损伤的影响却随之增大.

Creep postbuckling of the viscoelastic plates with matrix transverse cracks

Based on the Schapery three-dimension viscoelastic constitutive relationship with growing damageand Shenwei and Kachanov damage evolution equation,a damage model of matrix transverse cracks for theviscoelastic composite rectangular plates with fibre reinforced in unidirection is established.By using vonKarman theory on the thin plate,the nonlinear equilibrium equations including the damage effect and theinitial deflection for the viscoelastic composite rectangular plate under compression load in plane are founded.Through applying finite difference method in spatial domain,increment method and Newton-Cotes numericalintegration method in time domain,the governing equations are iteratively solved.The effects of the damage andthe relative parameters on the postbuckling behaviors of the plates are discussed and the results are comparedwith the available data.Numerical results show that the larger the external load or initial deflection,the largerthe stable postbuckling deflection of the plates and the more obvious the effect of the damage.With the increaseof the aspect ratio,the stable postbuckting deflection of the plates reduce and the effect of the damage grows.