组分连续变化梯度材料中应力波的传播特性

建立了线弹性组分连续变化梯度材料的波动方程、特征方程及特征线上应力、应变与材料质点速度的相容关系。讨论了特征线的可能形态。研究了应力波在这类材料中传播时的传播特性。研究发现:应力波在这类材料中传播时,波速仅是波所经过位置的函数;波速在大多数情况下是变化的;但波速的变化不会产生新的冲击波。

组分连续变化梯度材料中位移波和速度波的研究

建立了线弹性组分连续变化梯度材料的位移波动方程和速度波动方程，这2个方程的特征方程及特征线上质点应力、质点应变与质点速度在位移波阵面上的相容关系和质点应变变化率、质点应力变化率与质点加速度在速度波阵面上的相容关系。

Wave Equations about Displacement, Velocity, Stress and Strain in FGM with Constituents Varied Continuously and Smoothly

The wave equations about displacement, velocity, stress and strain in functionally gradient material （FGM） with constituents varied continuously and smoothly were established. Four kinds of waves are of linear second-order partial differential equation of hyperbolic type and have the same characteristic curve at the plane of X,t. In general, the varying mode of stress is different from that of displacement and velocity at the front of wave. But in a special case that the product of density p and elastic modulus E of the material remains unchanged, the three wave equations have a similar expression and they have a similar varying mode in the front of wave.

Ⅲ型裂纹动静态解的一致性

用摄动展开法分析了理想弹塑性材料中定常动态扩展Ⅲ型裂纹前方近裂纹线场区域的应力应变场。证明了动态解与准静态解的一致性以及动态解不存在与速度有关的奇异性。