中文摘要：

与特定的机械性质理解并且发展新 nanostructure 材料，有弹性的种类反应的好知识是强制的。这里，我们在修改 phase-field-crystal (MPFC ) 调查线性弹性反应模型。结果证明二个不同繁殖模式控制有弹性的相互作用长度和时间，它决定密度波浪是否能宣传。由计算种类地的份量上，我们发现种类分发是确实在弹性的情况下极其一致。进一步，我们在场为取向依赖的详细理论分析和温度依赖砍模量。模拟结果证明 shear 模量揭示强壮的 anisotropy，一个模式分析为决定橡皮提供一个好指南砍常数直到系统，温度在某个值下面掉落。

英文摘要：

To understand and develop new nanostructure materials with specific mechanical properties, a good knowledge of the elastic strain response is mandatory. Here we investigate the linear elasticity response in the modified phase-field-crystal（MPFC） model. The results show that two different propagation modes control the elastic interaction length and time, which determine whether the density waves can propagate or not. By quantitatively calculating the strain field, we find that the strain distribution is indeed extremely uniform in case of elasticity. Further, we present a detailed theoretical analysis for the orientation dependence and temperature dependence of shear modulus. The simulation results show that the shear modulus reveals strong anisotropy and the one-mode analysis provides a good guideline for determining elastic shear constants until the system temperature falls below a certain value.