基于无网格伽辽金法的裂缝处理方式

在介绍目前无网格伽辽金法中模拟裂缝的主要方法的基础上,将有限元中用于模拟裂缝的弥散式裂缝处理方式引入到无网格伽辽金法中,通过修改开裂的高斯点及节点的弹性模量,可方便地模拟裂缝的发生及发展,并编写相应程序,针对受集中力作用的混凝土悬臂梁,进行裂缝的发生、发展分析,得到构件的开裂荷载及极限荷载,其开裂轨迹符合一般开裂发展规律。表明应用无网格伽辽金法结合弥散式裂缝处理方式来处理混凝土构件裂缝的发生、发展是可行的。

Treatment of cracks using an element-free Galerkin method

Dispersion treatment of cracks employed in the finite element method is applied to an element-free(or meshless)Galerkin method.By modifying the modulus of elasticity of the cracked elements at the Gauss points,this method can be employed to simulate both the crack initiation and crack growth.Using a in-house developed computer code,the cracking phenomenon of a cantilever beam under a concentrated load is analyzed.The analysis results indicate that the crack path follows a commonly-known propagating pattern.The paper demonstrates that the use of meshless Galerkin method with the dispersion treatment can effectively predict both the cracking load and the ultimate load all together.