국내 최대 기계 및 로봇 연구정보

기술보고서

기술보고서 게시판 내용
타이틀	An In-Depth Tutorial on Constitutive Equations for Elastic Anisotropic Materials
저자	Nemeth, Michael P.
Keyword	ANISOTROPY;; AXES (REFERENCE LINES); CONSTITUTIVE EQUATIONS;; COORDINATES;; HOOKES LAW;; ROTATION;; SYMMETRY;; TEMPERATURE EFFECTS
URL	http://hdl.handle.net/2060/20110023650
보고서번호	NASA/TM-2011-217314
발행년도	2011
출처	NTRS (NASA Technical Report Server)
ABSTRACT	An in-depth tutorial on the constitutive equations for elastic, anisotropic materials is presented. Basic concepts are introduced that are used to characterize materials, and notions about how anisotropic material deform are presented. Hooke s law and the Duhamel-Neuman law for isotropic materials are presented and discussed. Then, the most general form of Hooke s law for elastic anisotropic materials is presented and symmetry requirements are given. A similar presentation is also given for the generalized Duhamel-Neuman law for elastic, anisotropic materials that includes thermal effects. Transformation equations for stress and strains are presented and the most general form of the transformation equations for the constitutive matrices are given. Then, specialized transformation equations are presented for dextral rotations about the coordinate axes. Next, concepts of material symmetry are introduced and criteria for material symmetries are presented. Additionally, engineering constants of fully anisotropic, elastic materials are derived from first principles and the specialized to several cases of practical importance.