Conservation laws and canonical forms in the Stroh formalism of anisotropic elasticity
نویسندگان
چکیده
منابع مشابه
Conservation Laws in Elasticity. IlL Planar Linear Anisotropic Elastostatics
The first order conservation laws for an arbitrary homogeneous linear planar elastic material are completely classified. In all cases, both isotropic and anisotropic, besides the standard Betti reciprocity laws, there are two infinite-dimensional families of conservation laws, each depending on an arbitrary analytic function of two complex variables.
متن کاملCanonical Forms and Conservation
In this paper, we shall review earlier work on canonical forms in linear elasticity, and applications to the classi cation of conservation laws (path-independent integrals).
متن کاملConservation Laws in Elasticity L General Results
In this paper the basic results involved in the application of NOETHER'S theorem relating symmetry groups and conservation laws to the variational problems of homogeneous elastostatics are outlined. General methods and conditions for the existence of variational and generalized symmetries are presented. Applications will be considered in subsequent papers in this series.
متن کاملOn dual conservation laws in planar elasticity
Dual conservation laws of linear planar elasticity theory have been systematically studied based on stress function formalism. By employing generalized symmetry transformation or Lie–B€acklund transformation, a class of new dual conservation laws in planar elasticity have been discovered based on Noether theorem and its Bessel–Hagen generalization. These dual conservation laws represent variati...
متن کاملApplication of the Trefftz method, on the basis of Stroh formalism, to solve the inverse Cauchy problems of anisotropic elasticity in multiply connected domains
In this paper, the Trefftz collocation method is applied to solve the inverse Cauchy problem of anisotropic elasticity, wherein both tractions as well as displacements are prescribed at a small part of the boundary of an arbitrary simply/multiply connected anisotropic elastic domain. The Stroh formalism is used to construct the Trefftz basis functions. Negative and positive power series are use...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1996
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1417237