Bio-inspired composites are a great promise for mimicking the extraordinary and highly efficient properties of natural materials. Recent developments in voxel-by-voxel 3D printing have enabled extreme levels control over material deposition, yielding complex micro-architected However, spatial complexity makes it formidable challenge to find optimal distribution both hard soft phases. To address...

• A constitutive material model is developed to nonlinear behaviour of timber. Orthotropic stress–strain relationship used in the linear elastic phase. Under compression a based on Hoffman yield criterion and plastic potential used. Isotropic strain hardening during deformation incorporated into criterion. Tensile damages all three grain directions are established using damage factors fracture ...

Determining the unknown material parameters of intact ventricular myocardium can be challenging due to highly nonlinear material behavior. Previous studies combining a gradient-search optimization procedure with finite element analysis (FEA) were limited to two-dimensional (2D) models or simplified three-dimensional (3D) geometries. Here we present a novel scheme to estimate unknown material pa...

The linear time-domain beam propagation method ( ) TD BPM has been extended to model the propagation of pulsed optical beams in second-order nonlinear optical material of integrated wa eguides. The coupled nonlinear wa e equations ha e been deri ed and discretized using the explicit finite-difference method. The nonlinear TD BPM method de eloped in the present work is ery efficient, and is simp...

We study the effective third-order nonlinear susceptibility of a graded metal–dielectric composite film of anisotropic particles with weak nonlinearity by invoking the local field effects within the Maxwell–Garnett theory. We further numerically demonstrate that the film can serve as a novel optical material to produce a broad structure in both the linear and the nonlinear response and an enhan...

The object of the present paper is to study temperature distribution and thermal stresses of a functionally graded thick hollow cylinder with temperature dependent material properties. All the material properties except Poisson’s ratio are assumed to be dependent on temperature. The nonlinear heat conduction with temperature dependent thermal conductivity and specific heat capacity is reduced t...

We present a formalism for optical pulse propagation in nonlinear photonic crystals of arbitrary dimensionality. Using a multiple-scale analysis, we derive the dynamical nonlinear Schrödinger equation obeyed by the envelope function modulating an underlying Bloch function. Effective coefficients appear in that equation characterizing the effects of Kerr nonlinearity, linear gain or loss, and ma...

We investigate nonlinear transmission in a layered structure consisting of a slab of positive index material with Kerr-type nonlinearity and a subwavelength layer of linear negative index material (NIM) sandwiched between semi-infinite linear dielectrics. We find that a thin layer of NIM leads to significant changes in the hysteresis width when the nonlinear slab is illuminated at an angle near...