二维各向异性弹性力学的Stroh公式及其推广

Stroh公式是解决各向异性弹性体二维变形的强有力的工具。该公式形式上简洁优美、应用上方便有力。它的推广形式也日益在混合边值问题、压电材料、非对称弯曲板、三维各向异性弹性体、稳态运动、多自由度系统振动等方面得到广泛应用。本文简要介绍Stroh公式及其推广形式的研究状况与进展。

STROH FORMALISM AND ITS GENERALIZATION IN TWO-DIMENSIONAL ANISOTROPIC ELATICITY

Stroh formalism is a powerful tool to solve the problem of the two-dimensional anisotropic deformation. The formalism is mathematically elegant and technically powerful. Its extension is applied to many fields, such as, the mixed boundary value problem, piezoelectric materials, thermo- piezoelectric materials, asymmetric bending of a plate, three-dimensional anisotropic elasticity, vi- bration with multi-degrees of freedom, steady state motion and surface wave, and so on. In this paper, the application and generalization of Stroh formalism are introduced.