... unknown. By correlating macroscopic elastic constants with microscopic force constants of diamond-like structures, we here derived analytical expressions for the minimum Poisson’s ratio, the maximum Poisson’s ratio, and the Poisson’s ratios averaged by three schemes (i.e., Voigt averaging scheme, Reuss...

... (including graphene, γ-graphyne, β-graphyne, and hexagonal boron nitride) based on a molecular mechanics model. By using the perturbation method, we derived a series of analytical expressions for nonlinear stress–strain relationships and elastic constants of these 2D materials under uniaxial tension along...

... the presented example where F is 61%. The porosity is 3.69%. Both quantities F and P lie between 0 and 1. F and P will be strictly enforced in the model. 03 03 2010 12 07 2011 08 12 2011 08 12 2011 biomechanics bone crystal microstructure elastic constants elasticity...

... 2011 26 08 2011 carbon nanotubes continuum mechanics elastic constants elasticity finite element analysis nanorods spectral finite element nonlocal elasticity nanorod wavenumber dynamic stiffness escape frequency small scale A nanostructure is defined as a material...

... coefficient of friction, which is applied during the winding process, is incorporated into the semianalytical solution method. 23 04 2010 19 03 2011 24 08 2011 bending composite materials elastic constants fibres forming processes friction vibrational modes winding (process...

... 2009 06 10 2010 05 01 2011 15 02 2011 15 02 2011 bending elastic constants flexible structures mechanical stability sliding friction strips elastica flat surface friction instability overhang It is of interest to know when an overhanging flexible object...

... of theoretical solution and finite element method results demonstrates the application and accuracy of this solution. 21 01 2010 20 09 2010 24 09 2010 20 12 2010 20 12 2010 ageing elastic constants finite element analysis functionally graded materials Green's function methods...

... corresponding to such nanosized structural elements are significantly affected by the size. In order to employ surface and interface elasticity, several key properties such as surface energy, surface stresses, and surface elastic constants of several fcc materials as well as interface properties...

... eigenvalues and eigenfunctions elastic constants linear systems reduced order systems sparse matrices reduced order structural system dependency/independency relationship stiffness matrix complex eigenvector The validation of mathematical models of structural systems using measurements...

... curved beam element with linear strains and linear curvatures. 25 09 2008 12 06 2010 17 06 2010 20 08 2010 20 08 2010 beams (structures) bending elastic constants finite element analysis shear deformation curved beam elements exact stiffness matrix...

... with the effective elastic constants of biphase composite materials. Our analysis identifies three distinct regions of A : (i) By using ovoidal particles with small A , the effective stiffness scales linearly with A for a given volume fraction α ; (ii) for intermediate values of A , the use of prolate particles...

... stiffness is sufficiently large. buckling carbon nanotubes elastic constants iterative methods molecular dynamics method point defects shear deformation van der Waals forces buckling nanotube nonlocal shell model higher order shear deformable shell theory temperature-dependent properties...

... bending stiffness comparable with conventional honeycomb panel. 11 12 2008 17 07 2009 08 02 2010 08 02 2010 adhesives bending compressibility elastic constants work hardening origami-engineering truss core panel multistage forming simulation press working finite...

... 12 2009 09 12 2009 differential equations elastic constants stress analysis Joints of different materials have many applications in structural engineering or microelectronics. Due to the different elastic properties and to different thermal expansion coefficients of the joined...

... damping elastic constants friction plasma arc sprayed coatings slip thermal barrier coatings vibrations Young's modulus mechanical properties of materials damping friction As typically used, the term internal friction is an inclusive term for all types of material damping...

... comprising two semi-infinite dissimilar isotropic plates separated by another dissimilar isotropic plate strip of finite breadth. As an application, we determine the effective elastic constants of a compound plate comprising a homogeneous isotropic plate in which a finite number of isotropic parallel plate...

... as test-functions for rotating beam codes and for targeted destiffening of rotating beams. 11 07 2008 05 02 2009 18 06 2009 beams (structures) bending strength cantilevers eigenvalues and eigenfunctions elastic constants finite element analysis Rotating beams serve...

... sungsmethoden und Lö sungen , Chelsea , New York . 15 09 2007 18 03 2008 27 04 2009 Bessel functions buckling elastic constants polynomials buckling structural stability exact solution nonuniform column Structural components with varying cross sections...

... 2008 elastic constants elasticity plates (structures) sandwich structures Elasticity solutions are significant because they provide a benchmark for assessing the performance of the various plate or shell theories or the various numerical methods such as the finite element method...

... intensity factors, K III , are derived and numerical results are provided. 23 02 2007 27 02 2007 21 08 2008 Chebyshev approximation crack-edge stress field analysis elastic constants elasticity fracture mechanics functionally graded materials integro-differential equations...