【摘要】 本文在线性应变条件下导出了应力波在弹性介质中传播的非线性的运动方程。文中指出方程的非线性性质是由变形运动本身的非线性性质决定的。故这类非线性问题可以称为弹性应力波理论中的运动非线性问题。文中对在有限变形下具有线性应力——应变关系的弹性材料,在一维应变下,对方程进行了简化并给出了一个求解的实例。计算结果表明,这种情况下存在着十分明显的非线性动态响应,在分析和计算中必须加以考虑。更多还原

【Abstract】 A. set of nonlinear kinematic equations concerned with wave propagation in elastic solids is derived on the assumption of linear strain in this paper. It is pointed out that the nonlinearity of the equations is characterized by the nonlinearity of the motion itself in deformation of the elastic solids, so that problems involving sucn kind of nonlinearity may be named the problems of kinematic nonlinearity.In one dimensional state of deformation with the materials having linear stress-strain relation in finite deformation, the equations are simplified and are solved in an illustrative example. The results show dramatic non]inearly dynamic responses which are nonnegligible in calculating.更多还原