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Modeling of Lamb Waves in Composites Using a New Third-Order Plate Theory

机译:使用新的三阶板理论对复合材料中的兰姆波进行建模

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The effect of shear deformation and rotatory inertia should betaken into account in modeling Lamb waves in composite laminates. However,the first and second-order shear deformation plate theories which do not satisfythe stresses free boundary condition are uneconomic approximations, becauseone has to develop a complicated scheme to compute the shear correctionfactors. The stresses free boundary condition requires an in-plane displacementfield expanded at least as cubic functions of the thickness coordinate. Hence, inthis paper, the dispersive curves of Lamb waves in laminates are calculatedaccording to a new third-order shear deformation plate theory considering theboundary condition. The lower anti-symmetric Lamb modes results of the newtheory are closest to the exact solutions from 3D elasticity theory compared toseveral existing plate theories.
机译:剪切变形和旋转惯性的影响应为 在对复合材料层压板中的兰姆波进行建模时要考虑到这一点。然而, 不满足的一阶和二阶剪切变形板理论 应力自由边界条件是不经济的近似值,因为 必须开发一种复杂的方案来计算剪切校正 因素。无应力边界条件需要平面内位移 场至少作为厚度坐标的三次函数而扩展。因此,在 本文计算了层板中兰姆波的色散曲线 根据新的三阶剪切变形板理论,考虑了 边界条件。新的较低反对称Lamb模式的结果 相较于3D弹性理论,该理论最接近精确解 现有的几种板块理论。

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