【摘要】 本文对地质力学旋扭构造体系中的三类基本构造型式——雁行构造、旋卷构造和山字型构造,在地壳层面力引起的水平联合应力场作用下失稳而形成的褶皱进行了解析的和数值的分析,求解了直角坐标系和柱极坐标系中不同边界条件和应力组合方式下的地层失稳状态。文中叙述了地质问题的提出、数学力学模型和相应的基本微分方程。在求控制方程的解析解过程中,出现一类多自变量的非线性超越方程组,且其解不能用封闭型函数表达。这里介绍了求解这些非线性超越方程所采用的数值方法。最后简略介绍了计算雁行、旋卷和山字型褶皱的程序软件包 AWEPACK。更多还原

【Abstract】 In this paper the authors have given analytic and numerical solutions for three basic tectonic types referred to as Echelon-,Vortex-,Epsilon-type, under combined actions of forces parallel to the strata.The authors have obtained the folding behaviors of the strata for the above mentioned three tectonic types given different boundary conditions and stress fields by appropriate mathematical and mechanical models.In solving the governing equations,there appeared simultaneous nonlinear transcendental equations in Several variables.Methods for solving these transcendental equations are presented.Software package AWEPACK,the computer programs for the folding,is also introduced.更多还原