This paper presents a thermoelastic bending analysis of functionally graded sandwich plates by using a new quasi-3D hybrid type higher order shear deformation theory (HSDT). The mathematical model contains only 5 unknowns as the first order shear deformation theory (FSDT). The nonlinear term of the temperature field is modeled in such way that can be different from the shape functions of the di...

Highly nonlinear birefringent Photonic Crystal Fibre (PCF) that exhibits low losses and small effective mode area across a wide wavelength range has been presented. The effects of angular orientation on bending losses of the proposed PCFs have been thoroughly investigated by employing a full vectorial finite element method (FEM). It has been demonstrated that it is possible to design a bending-...

The model of the large deflection of fabrics considering the effect of bending hysteresis was established for describing the post-buckling behavior of woven fabrics. The moment-curvature relationship of fabrics obtained by pure bending test was approximated by the Rate-model and the change in the flexural rigidity caused by the hysteresis was incorporated into the analysis. Using a nonlinear FE...

In this report, the raypath equation is deduced by using plane wave theory and making high frequency approximation. Two kinds of two-point seismic ray tracing iterative nonlinear methods(the Shooting method and the Bending method) are discussed. The Shooting method fixes one end and apply the raypath equation to find the ray path. The Bending method fixes both ends and use Fermat’s principle to...

DNA has been described as a semiflexible polymer. But DNA is chiral, so its bending Hamiltonian contains nonlinear terms coupling the curvature κ to the torsion τ , leading to an average 〈τ〉 independent of κ, and variance 〈∆τ〉 scaling as 1/κ. We perform atomistic MD simulations of 31 base-pair DNA sequences with explicit solvent, in which “restraints” are imposed to “encourage” the DNA to bend....

The Hadamard and SJT product of matrices are two types of special matrix product. The latter was first defined by Chen [1]. In this study, they are applied to the differential quadrature (DQ) solution of geometrically nonlinear bending of isotropic and orthotropic rectangular plates. By using the Hadamard product, the nonlinear formulations are greatly simplified, while the SJT product approach...

It is shown that the strain field of an edge dislocation in a smectic crystal must be described in the framework of nonlinear theory, even far away from the core region. We present an exact solution of this nonlinear problem. The result of the linear theory is recovered in the limit of large bending rigidity.

The interplay between multiscale homogenization and dimension reduction for nonlinear elastic thin plates is analyzed in the case in which the scaling of the energy corresponds to Kirchhoff’s nonlinear bending theory for plates. Different limit models are deduced depending on the relative ratio between the thickness parameter h and the two homogenization scales ε and ε.