Some explicit expressions of extended Stroh formalism for two-dimensional piezoelectric anisotropic elasticity
نویسندگان
چکیده
منابع مشابه
Two-dimensional Steady-state Oscillation Problems of Anisotropic Elasticity
The paper deals with the two-dimensional exterior boundary value problems of the steady-state oscillation theory for anisotropic elastic bodies. By means of the limiting absorption principle the fundamental matrix of the oscillation equations is constructed and the generalized radiation conditions of Sommerfeld–Kupradze type are established. Uniqueness theorems of the basic and mixed type bound...
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 کاملUnique Continuation for the Two-dimensional Anisotropic Elasticity System and Its Applications to Inverse Problems
Under some generic assumptions we prove the unique continuation property for the two-dimensional inhomogeneous anisotropic elasticity system. Having established the unique continuation property, we then investigate the inverse problem of reconstructing the inclusion or cavity embedded in a plane elastic body with inhomogeneous anisotropic medium by infinitely many localized boundary measurements.
متن کاملA Formalism for the Consistent Description of Non-linear Elasticity of Anisotropic Media
La propagation des ondes lastiques est gnralement traite sous quatre hypothses : Ð le milieu est isotrope, Ð le milieu est homogne, Ð il y a une relation biunivoque entre la tension et la dformation, Ð les tensions sont relies dÕune faon linaire aux dformations (et de manire quivalente, les dformations sont relies dÕune faon linaire aux tensions). En gnral au moins une de ces...
متن کاملTwo-Dimensional Elasticity Solution for Arbitrarily Supported Axially Functionally Graded Beams
First time, an analytical two-dimensional (2D) elasticity solution for arbitrarily supported axially functionally graded (FG) beam is developed. Linear gradation of the material property along the axis of the beam is considered. Using the strain displacement and constitutive relations, governing partial differential equations (PDEs) is obtained by employing Ressiner mixed var...
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: International Journal of Solids and Structures
سال: 2008
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2008.03.025