... 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...

... Cortical Bone Fracture ,” J. Biomed. Eng. Trans. ASME , 120 , pp. 303 – 304 . 10.1115/1.2834290 03 03 2010 12 07 2011 08 12 2011 08 12 2011 biomechanics bone crystal microstructure elastic constants elasticity finite element analysis Monte Carlo methods...

... a , the escape frequencies are very large, and at higher values of e 0 a the escape frequencies are very small and approach to a constant value. 23 05 2010 14 02 2011 26 08 2011 26 08 2011 carbon nanotubes continuum mechanics elastic constants elasticity finite...

... parameter governing the natural frequencies of higher circumferential vibration modes. bending composite materials elastic constants fibres forming processes friction vibrational modes winding (process) filament winding semigeodesic fiber path shell of revolution composite materials...

... ). elastica flat surface friction instability overhang bending elastic constants flexible structures mechanical stability sliding friction strips 11 11 2009 06 10 2010 05 01 2011 15 02 2011 15 02 2011 2011 American Society of Mechanical Engineers ...

... 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...

... systems. A numerical procedure proves the above results and also shows the dependency relationship for the general nonclassical damping cases. 18 10 2006 12 12 2009 01 09 2010 01 09 2010 damping eigenvalues and eigenfunctions elastic constants linear systems reduced order...

... treatment. curved beam elements exact stiffness matrix nonuniform cross section beams (structures) bending elastic constants finite element analysis shear deformation 25 09 2008 12 06 2010 17 06 2010 20 08 2010 20 08 2010 2010 American Society...

... 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...

... on finding exact solutions or closed-form solutions for the buckling of nonuniform columns are cited further. buckling structural stability exact solution nonuniform column Bessel functions buckling elastic constants polynomials 15 09 2007 18 03 2008 27 04 2009...

... 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...