非对称自变量线性各向同性张量函数的表示
Representations of Linear, Isotropic Tensor Functions of an Asymmetric Argument
-
摘要: 本文给出了非对称自变量的线性各向同性标量值和张量值张量函数表示定理的数学证明.Abstract: This paper offers a mathematical demonstration of the representation theorems for linear, isotropic scalar-and tensor-valued tensor functions of an asymmetric argument.
-
[1] Truesdell,C.,Noll,W.,The non-linear field theories of mechanics,Handbuch der Physik Bd.Ⅲ/3,Springer,(1965). [2] Timoshenko,S.,Goodier,J.N.,Theory of elasticity,McGraw-Hill,New York,(1951). [3] Pearson,C.E.,Theoretical elasticity,Harvard Univ.Press,Cambridge,U.S.A.(1959). [4] Thomas,T.Y.,Concepts from tensor analysis and differential geometry,Acad.Press,New York,(1961). [5] Gurtin,M.E.,The linear theory of elasticity,Handbuch der Physik Bd.VIa/2,Springer,(1972). [6] Martins,L.C.,Guidugli,P.P.,a new proof of the representation theorem for isotropic,linear constitutive relations,J.Elasticity,8(1978),319-322. [7] Gurtin,M.E.,A short proof of the representation theorem for isotropic,linear stress-strain relations,J.Elasticity,4(1974),243-245. [8] Nowacki,W.,Olszak,W.,Micropolar elasticity,CISM Course No.151 Udine,Springer.(1974). [9] Chadwick,P.,Continuum mechanics-concise theory & problem,George Allen & Unwin,London,(1976). [10] 郭仲衡,《非线性弹性理论》,科学出版社,(1980).
点击查看大图
计量
- 文章访问数: 1712
- HTML全文浏览量: 66
- PDF下载量: 575
- 被引次数: 0