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STUDIES ON THE MECHANICAL CHARACTERISTICS OF ANISOTROPIC LAMINATED COMPOSITE STRUCTURES

各向异性层状复合材料结构力学特性研究

基本信息

批准号：
12650591
负责人：
MATSUNAGA Hiroyuki
金额：
$ 1.98万
依托单位：
SETSUNAN UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2000
资助国家：
日本
起止时间：
2000 至 2002
项目状态：
已结题

项目摘要

The global higher-order theories for analyzing natural frequencies, buckling stresses and displacements and interlaminar stresses of laminated composite structures have been developed. The complete effects of shear and normal stresses are taken into account within the approximate two- and one-dimensional theories. Several sets of the governing equations of truncated approximate theories have been applied to the analysis of static and dynamic problems of multilayered elastic plates and beams. Based on the power series expansions of continuous displacement components, fundamental sets of equations of two- and one-dimensional higher-order theories have been derived through the energy principles. Continuous displacement components of laminated composite plates and beams are obtained by solving the boundary value and eigenvalue problems. In-plane stress components are calculated from the constitutive relations and transverse stress components are determined by integrating the equilibrium eq … More uations of three-dimensional elastic continuum, and satisfying the stress boundary conditions on the top and bottom surfaces of laminates and continuity conditions at layer interface between layers. The continuity conditions and stress boundary conditions are satisfied completely. For multilayered composite laminates, the distribution of displace-ments and transverse shear and normal stresses in the thickness direction has been obtained accurately in the ply level.The present results obtained by various sets of approximate theories are considered to be accurate enough for general laminated composite plates and beams with many layers. Numerical results are compared with those of the published three-dimensional layerwise theory in which both in-plane and normal displacements are assumed to be C^0 continuous in the continuity conditions at the interface between layers. Effects of the difference of displacement continuity conditions between the three-dimensional layerwise theory and the single-layer (global) higher-order theory are clarified in multilayered composite laminates. The two- and one-dimensional global higher-order theories can predict displaceme nt and stress distributions of multilayered composite and sandwich structures accurately within small number of unknowns. Less

用于分析层合复合材料结构的固有频率、屈曲应力和位移以及层间应力的全局高阶理论已经开发出来。在近似二维和一维理论中考虑了剪切应力和法向应力的完整影响。多套截断近似理论的控制方程已应用于多层弹性板和梁的静态和动态问题的分析。基于连续位移分量的幂级数展开，通过能量原理推导了二维和一维高阶理论的基本方程组。通过求解边值和特征值问题，得到层合复合材料板和梁的连续位移分量。根据本构关系计算面内应力分量，对三维弹性连续体的平衡方程进行积分，并满足层合板上下表面的应力边界条件和层间界面的连续性条件，确定横向应力分量。完全满足连续性条件和应力边界条件。对于多层复合材料层合板，在板层水平上准确地获得了厚度方向的位移、横向剪切力和法向应力的分布。目前通过多组近似理论得到的结果被认为对于一般多层复合材料板和梁来说是足够准确的。将数值结果与已发表的三维分层理论的结果进行比较，其中面内位移和法向位移在层间界面的连续性条件下均假设为 C^0 连续。阐明了三维分层理论与单层（全局）高阶理论之间位移连续条件差异对多层复合材料层合板的影响。二维和一维全局高阶理论可以在少量未知数内准确预测多层复合材料和夹层结构的位移和应力分布。较少的