Anisotropic Elasticity with Matlab

Hwu, Chyan-Bin

Department of Aeronautics and Astronautics

Springer, 2021

ISBN 978-3-030-66675-0

Abstract

     This book provides the theory of anisotropic elasticity with the computer program for analytical solutions as well as boundary element methods. It covers the elastic analysis of two-dimensional, plate bending, coupled stretching-bending, and three-dimensional deformations, and is extended to the piezoelectric, piezomagnetic, magnetic-electro-elastic, viscoelastic materials, and the ones under thermal environment. The analytical solutions include the solutions for infinite space, half space, bi-materials, wedges, interface corners, holes, cracks, inclusions, and contact problems. The boundary element solutions include BEMs for two-dimensional anisotropic elastic, piezoelectric, magnetic-electro-elastic, viscoelastic analyses and their associated dynamic analyses, as well as coupled stretching-bending analysis, contact analysis, and three-dimensional analysis. This book also provides source codes and examples for all the presenting analytical solutions and boundary element methods. The program is named as AEPH (Anisotropic Elastic Plates – Hwu), which contains 204 matlab functions.

中文介紹

    本書提供異向彈性力學理論以及其相關解析解與邊界元素法的電腦程式。 它涵蓋二維、板彎曲、耦合拉伸彎曲和三維變形的彈性力學分析，並擴展到壓電、壓磁、磁電彈、黏彈等材料以及熱環境。 解析解包括無限空間、半無限空間、雙材料、楔形板、界面角、孔洞、裂縫、異質和接觸等問題。 邊界元素法包括二維異向彈性、壓電、磁電彈、黏彈等以及與其相關之動態分析，同時亦包括耦合拉伸彎曲分析、接觸分析和三維分析。 本書還提供所有解析解和邊界元素法的源代碼和範例。 電腦程式被命名為AEPH (Anisotropic Elastic Plates – Hwu)，它包含204個matlab函數。