论文标题
某些类型的微态连续体模型的简单剪切问题的分析解决方案 - 包括完全推导
Analytical solutions of the simple shear problem for certain types of micromorphic continuum models -- including full derivations
论文作者
论文摘要
为了得出有关研究连续体的稳定性和建模限制的结论，我们考虑了一个无限的各向同性概括性连续模型（Mindlin-eringeren erigen erigonergen，Mindlin-ering，放松的微态持续性，Cosserat，Cosserat，Cosserat，Cosserat，Cosserat，Cosserat，Cosserat，Cosserat，Cosserat，Micropolt，MicroPolt，微晶，微晶状体，微孔，微旋转，不合情的效果，第二个渐变性。无限条纹。剪切刚度$μ^{*} $给出了表征不同广义连续模量的定性措施。这种刚度在一般情况下依赖性。突出显示了有趣的极限情况，可以解释所研究的连续图的某些出现材料参数。
To draw conclusions as regards the stability and modelling limits of the investigated continuum, we consider a family of infinitesimal isotropic generalized continuum models (Mindlin-Eringen micromorphic, relaxed micromorphic continuum, Cosserat, micropolar, microstretch, microstrain, microvoid, indeterminate couple stress, second gradient elasticity, etc.) and solve analytically the simple shear problem of an infinite stripe. A qualitative measure characterizing the different generalized continuum moduli is given by the shear stiffness $μ^{*}$. This stiffness is in general length-scale dependent. Interesting limit cases are highlighted, which allow to interpret some of the appearing material parameter of the investigated continua.
