CAJ | 학술논문

结合杂交边界点法和双互易法则,推导出求解动力问题的纯边界类型无网格方法--双互易杂交边界点方法,并将该方法用于求解含中心裂纹的方板受瞬态载荷作用的问题.该方法将问题的解分为通解和特解两部分,通解使用杂交边界点法求解,特解则利用局部径向基函数近似,域内布点仅仅为了径向基插值,因此仍然是一种纯边界类型的无网格方法.同时,将移动最小二乘近似中的基函数扩充,使该方法能更好地模拟裂纹尖端应力场的奇异性,具有后处理简单、精度高的优点.数值算例表明了该方法的稳定性和有效性.
결합잡교변계점법화쌍호역법칙,추도출구해동력문제적순변계류형무망격방법--쌍호역잡교변계점방법,병장해방법용우구해함중심렬문적방판수순태재하작용적문제.해방법장문제적해분위통해화특해량부분,통해사용잡교변계점법구해,특해칙이용국부경향기함수근사,역내포점부부위료경향기삽치,인차잉연시일충순변계류형적무망격방법.동시,장이동최소이승근사중적기함수확충,사해방법능경호지모의렬문첨단응력장적기이성,구유후처리간단、정도고적우점.수치산례표명료해방법적은정성화유효성.
Combining the hybrid boundary node method (HBNM) and the dual reciprocity principle, a truly boundary-type meshless method- dual reciprocity hybrid boundary node method is presented for solving dynamic problems. It is used to numerically find the solutions of a crack of finite specimen under an impact load. The solution is divided into particular solution and general solution. The general solution is solved by means of HBNM; and the particular solution is approximated by using radial basis functions (RBF). The inner nodes are just for RBF interpolation, which is not influence that the present method is a boundary-only method. The basis functions enrichment in moving least squares (MLS) are presented for simulating the singularity of the stress field on the tip of the fracture. The presented method has many advantages such as simple post processing and higher accuracy. Numerical examples have shown the stability and the validity of the presented method.