The transmission problem in bending of plates with transverse shear deformation
IMA Journal of Applied Mathematics, 2001The authors discuss the weak solvability of the problem of bending of homogeneous plate with a homogeneous inclusion of different material. The theory of plates with transverse shear deformation is considered. The problem is reduced to boundary integral equations for which existence, uniqueness and continuous dependence on data of the weak solutions ...
Chudinovich, Igor, Constanda, Christian
openaire +2 more sources
Modeling of peridynamic beams and shells with transverse shear effect via interpolation method
, 2021Peridynamics is a nonlocal theory which can easily handle discontinuities such as cracks, while it is computationally more expensive compared with finite element method (FEM).
G. Shen +4 more
semanticscholar +1 more source
THE CAUCHY PROBLEM IN THE THEORY OF PLATES WITH TRANSVERSE SHEAR DEFORMATION
Mathematical Models and Methods in Applied Sciences, 2000The Cauchy problem for an infinite plate with transverse shear deformation is studied by means of an area potential and some special initial potentials. This is a fundamental step in the construction of the potential theory for dynamic problems for plates, since such results make it possible to reduce various initial-boundary value problems for the ...
Chudinovich, Igor, Constanda, Christian
openaire +2 more sources
TRANSVERSE SHEAR DEFORMATIONS FOR DEFLECTIONS OF THIN-WALLED BEAMS
Automobile Roads and Road Construction, 2023The Euler-Bernoulli theory (classical theory) is mainly used when beam deflections are determined. Classical theory takes into account only pure bending while transverse shear deformations are neglected. The paper examines statically determined thin-walled beams (I-beam and thin circular ring): simply supported beams and cantilevers.
Iryna Ilchenko +2 more
openaire +1 more source
Anti-plane Shear Deformations in Compressible Transversely Isotropic Materials
Journal of Elasticity, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tsai, Hungyu, Fan, Xinjian
openaire +2 more sources
Finite Inhomogeneous Shearing Deformations of a Transversely Isotropic Incompressible Material
Journal of Elasticity, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, B., Chaudhury, S. R.
openaire +2 more sources
Effects of In-Plane Shear Loads on Transverse Shear Deformations in Composite Panels
Journal of Aircraft, 2009An analytical and experimental investigation is performed to clarify the transverse shear deformations that occur in laminated and sandwich composite plates subjected to in-plane shear loads. This is part of a larger study investigating the feasibility of an in-plane shear test as a practical procedure to determine the in-plane shear modulus and/or ...
Jingbo Wang +2 more
openaire +1 more source
The Effect of Transverse Shear Deformation on the Bending of Elastic Plates
Journal of Applied Mechanics, 1945Abstract A system of equations is developed for the theory of bending of thin elastic plates which takes into account the transverse shear deformability of the plate. This system of equations is of such nature that three boundary conditions can and must be prescribed along the edge of the plate.
openaire +2 more sources
A two‐node beam element including transverse shear and transverse normal deformations
International Journal for Numerical Methods in Engineering, 1991AbstractA variational higher‐order theory for bending and stretching of linearly elastic orthotropic beams including the deformations due to transverse shearing and stretching of the transverse normal fibre is presented. The theory assumes a linear distribution for the longitudinal displacement and a parabolic variation of the transverse displacement ...
openaire +2 more sources
Transverse deformations associated with rectilinear shear in elastic solids
Journal of Elasticity, 1978The rectilinear deformation of an incompressible, isotropic clastic solid is, in general, characterized by the two planar fields of pressure and displacement magnitude, and these are, in turn, restricted by the three, generally independent, differential equations of equilibrium. The over-determined nature of this situation suggests the possibility that
Fosdick, R. L., Kao, B. G.
openaire +2 more sources

