摘要
运用弹性力学和塑性流变学理论建立了夹于相同力学性质等厚度介质中同厚度多层褶皱变形理论模型、非齐次偏微分方程及主波长理论 ,运用数理方程和特殊函数理论解出齐次偏微分方程的特解和一般解 ,并用弹性材料和塑性材料的模拟实验加以验证 .研究结果表明 :弹性材料的主波长Lm 与主多层弹性模量B、介质的弹性模量B0 、层的数量n、厚度t及介质的厚度h有关 ;塑性材料的主波长Lm 与主多层粘滞系数 μ、介质的粘滞系数 μ0 、层的数量n、厚度t及介质的厚度h有关 .这对同性质等厚度多层褶皱进行理论研究和野外实践有指导意义 .
The theoretical model and nonhomogeneous differential equation and dominant wavelength theory of folding and deforming of equally thick multi layer intercalated between equal thickness and character media are created by using mechanics of elasticity and plasticity. The special answer and common answer to the nonhomogeneous differential equation by using logistic equation and special function were deduced. The dominant wavelength theory of plastic materials is related to elastic moduluses of multiplayer, elastic moduluses of media, quantities and thickness of multiplayer, thickness of media. The results show that the dominant wavelength theory of viscous materials is related to sticky coefficient of multiplayer, sticky coefficient of media, quantities and thickness of multiplayer, thickness of media. In addition, the dominant wavelength theory is proved by the experimental folding in both elastic and viscous materials, which is significant to instruct the studies inside and the exploration in the field.
出处
《中南工业大学学报》
CSCD
北大核心
2001年第5期445-447,共3页
Journal of Central South University of Technology(Natural Science)
基金
国家自然科学基金资助项目 ( 4 980 2 0 2 2 )
