夹于等厚同性质介质中同厚度多层褶皱构造

来源期刊：中南大学学报(自然科学版)2001年第5期

论文作者：叶柏龙 喻爱南 尹小波

文章页码：445 - 447

关键词：多层褶皱;主波长理论;模拟实验

Key words：multi-layer fold; dominantwavelength theory; imitation experiment

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L_m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L_m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.

Abstract: The theoretical model and nonhomogeneous differential equation and dominantwavelength theoryof 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 dominantwavelength theory of plastic materials is related to elastic moduluses of multiplayer, elastic moduluses ofmedia, quantities and thickness of multiplayer, thickness of media. The results show that the dominant wave length theory of viscous materials is related to sticky coefficientofmulti player, 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.