山东理工大学学报（自然科学版）
山東理工大學學報（自然科學版）
산동리공대학학보（자연과학판）
JOURNAL OF SHANDONG UNIVERSITY OF TECHNOLOGY(SCIENCE AND TECHNOLOGY)
2014年
1期
1-5
,共5页
虚边界元法%涂层结构%温度场
虛邊界元法%塗層結構%溫度場
허변계원법%도층결구%온도장
VBEM%coating structure%temperature field
将虚边界元法应用于平面涂层结构温度场问题，并发展了多域虚边界元法。给出求解涂层问题的新的途径，同时也拓展了虚边界元法的应用范围。对狭长比为10-1～10-10的涂层结构进行了研究，所取得的数值结果与精确解高度吻合，表明虚边界元法是求解二维涂层结构温度场问题的强有力工具，且方法简单、易于程序设计。
將虛邊界元法應用于平麵塗層結構溫度場問題，併髮展瞭多域虛邊界元法。給齣求解塗層問題的新的途徑，同時也拓展瞭虛邊界元法的應用範圍。對狹長比為10-1～10-10的塗層結構進行瞭研究，所取得的數值結果與精確解高度吻閤，錶明虛邊界元法是求解二維塗層結構溫度場問題的彊有力工具，且方法簡單、易于程序設計。
장허변계원법응용우평면도층결구온도장문제，병발전료다역허변계원법。급출구해도층문제적신적도경，동시야탁전료허변계원법적응용범위。대협장비위10-1～10-10적도층결구진행료연구，소취득적수치결과여정학해고도문합，표명허변계원법시구해이유도층결구온도장문제적강유력공구，차방법간단、역우정서설계。
In this paper ,the virtual boundary element method (VBEM ) has been applied to study the temperature field problems in 2D coating structure ,and multi-domain virtual boundary ele-ment method (MD-VBEM) is presented ,which not only provides a new approach to deal with such problems but also extends the application field of VBEM .Numerical examples investigated the coating structure with thickness-to-length ratios ranging from 1∶10 to 1∶1010 .The numeri-cal results obtained by proposed method match the exact solution well ,which show the VBEM is not only a strong tool for solving 2D coating problems but also a simple and easily programmed method .
