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材料衍生比例定律的建立及其在结构屈曲断裂非线性失效中的应用
引用本文:熊志鑫,张志平,佟福山.材料衍生比例定律的建立及其在结构屈曲断裂非线性失效中的应用[J].船舶力学,2011,15(4).
作者姓名:熊志鑫  张志平  佟福山
作者单位:哈尔滨工程大学,船舶工程学院,哈尔滨,150001;DNV船级社,上海分部,上海,200336
摘    要:基于应变能定理和切线模量理论的内涵,研究应力应变曲线非线性阶段的实际应力和满足比例关系的线性应力之间的关系,可以得到不受比例极限限制的材料衍生比例定律.文中重点讨论该定律的建立过程,并引用大深度潜器耐压球壳弹塑性失稳进行了例证,最后说明该定律用于计算弹塑性断裂的方法以及与各断裂度量的关系.实例表明,结构非线性失效问题可以用衍生比例定律得到较好的解决.

关 键 词:衍生比例定律  切线模量理论  弹塑性屈曲  潜水器耐压壳  弹塑性断裂  非线性失效

Establishment of derivative proportional law and its application in elastic-plastic buckling and fracture of structures
XIONG Zhi-xin,ZHANG Zhi-ping,TONG Fu-shan.Establishment of derivative proportional law and its application in elastic-plastic buckling and fracture of structures[J].Journal of Ship Mechanics,2011,15(4).
Authors:XIONG Zhi-xin  ZHANG Zhi-ping  TONG Fu-shan
Institution:XIONG Zhi-xin1,ZHANG Zhi-ping 2,TONG Fu-shan1(1 College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China,2 Shanghai Branch of Det Norske Veritas,Shanghai 200336,China)
Abstract:Based on the strain energy theory and the connotation of tangent modulus theory,a new law called derivative proportional law of materials is established.This law is the innovation of Hooke's Law which is not limited by proportional limit of material and can reflect general view of stress-strain curve including linear part and nonlinear part.Using the relationship of real material stress and perfect elastic stress,the buildup process of derivative proportional law is discussed.This law can be used to calcula...
Keywords:derivative proportional law  tangent modulus theory  elastic-plastic buckling  submersible pressure hull  elastic-plastic fracture  nonlinear failure  
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