Abstract
有限單元互疊程序(finite elementalternating procedure)應用於分析含多裂縫有限平板的穩態溫度分佈，已有良好的精確度及效率。本文將延伸此一技巧分析含多裂縫有限平板的的暫態溫度分佈。首先要推導一含單一裂縫無限板其裂縫表面承受一任意、隨時變的Neumann 熱負荷的暫態解析解。之後，利用此一解析解，發展出一套高效率，高精確度的有限單元互疊程序，用於含多裂縫有限平板的暫態溫度分佈。多個裂縫間的交互影響也將於本文被討論。最後為了證明此法的可行性與準確性，將探討數個例子。A finite element alternating procedure whichhas presented itshigh accuracy and efficiency in solving the steady-state heatconduction problems of a finite plate with multiple cracks isextended to deal with the transient cases. To do this, analy-tical transient solution for an infinite plate with a centralcrack under arbitrary time-variant Neumann thermal condition isderived. The resultant residual temperature/heat flux on exter-nal boundary condition are computed iteratively until theresul- tant residual heat flux on the crack surfaces isnegligible. The interaction effect among cracks on theevaluation of transient temperature field is drawn. Severalnumerical examples are sovl- ed to demontrate the validity andapplicability of this work.