摘要
引用简化的罚函数本构方程,完成幂律非线性随机有限元方法,将随机有限元方法引入木材断裂力学。考虑到裂纹尺寸的随机性,根据J积分的变化率以及J-K的关系计算出木材强度因子的变化曲线。为验证其可行性,进行相关实验,木材强度因子的测试曲线具有相同的变化趋势,误差在同一个标准差内,从而证明采用随机有限元方法对木材的断裂特性进行计算和预测是可行和适用的。
Stochastic finite element method was introduced into wood fracture mechanics in this paper. Constitutive equations with the simplified penalty functions were used to develop the power-law nonlinear stochastic finite dement method. Considering the randomicity of crack size and according to the change ratio of J-integral and the J-K relationship, we calculated the change curve of wood strength factor. To prove the validity of numerical results, the relative test was carried out and the testing curve of wood strength factor was got. The two curves showed the same change trend, and errors between them were within a standard deviation. It is concluded that adopting stochastic finite element method to analyze and predict the wood fracture performance is feasible and practical.
出处
《森林工程》
2007年第3期12-15,共4页
Forest Engineering
基金
国家自然科学基金(30371126)
关键词
木材
随机有限元
断裂力学
wood
stochastic finite element method
fracture mechanics
