... (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...

... strain to experimental data. biomechanics bone crystal microstructure elastic constants elasticity finite element analysis Monte Carlo methods nanoindentation porosity Young's modulus cortical bone finite element method microstructure homogenisation Monte Carlo Several...

... the model sizes of the SFEM are very small. Dynamic stiffness comparison between spectral finite element method (SFEM) and conventional finite element method (FEM) 23 05 2010 14 02 2011 26 08 2011 26 08 2011 carbon nanotubes continuum mechanics elastic constants...

... dominates the mode shape and the sine part is much smaller. 23 04 2010 19 03 2011 24 08 2011 bending composite materials elastic constants fibres forming processes friction vibrational modes winding (process) filament winding semigeodesic fiber path shell...

... Mazzilli , C. E. N. , 2009 , “ Buckling and Post-Buckling of Extensible Rods Revisited: A Multiple-Scale Solution ,” Int. J. Non-Linear Mech. 0020-7462 , 44 , pp. 200 – 208 . 10.1016/j.ijnonlinmec.2008.11.005 bending elastic constants flexible structures mechanical stability sliding...

... 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...

... that the determined stiffness matrix is exact and that any type of beam can be analyzed by this method. 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...

... 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...

... Nanotubes Using Nanoindentation ,” Appl. Phys. Lett. 0003-6951 , 87 , p. 103109 . 10.1063/1.2012530 13 12 2008 08 10 2009 09 04 2010 09 04 2010 buckling carbon nanotubes elastic constants iterative methods molecular dynamics method point defects shear deformation...

... compressibility elastic constants work hardening origami-engineering truss core panel multistage forming simulation press working finite element method bending stiffness work hardening shell formulation full integration shell reduced integration shell Honeycomb panel glued honeycomb core...

... 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...

... process. mechanical properties of materials damping friction ceramics crystal microstructure damping elastic constants friction plasma arc sprayed coatings slip thermal barrier coatings vibrations Young's modulus 18 07 2008 03 04 2009 27 07 2009 2009...

... 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...

... . Fundamental mesh for the third mode h-version FEM, and the first two refinements 11 07 2008 05 02 2009 18 06 2009 beams (structures) bending strength cantilevers eigenvalues and eigenfunctions elastic constants finite element analysis However, in the absence of an exact...

... 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...

... 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. For monolithic...

... , 30 ( 10 ), pp. 1507 – 1523 . 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 polynomial approximation shear...

... beams (structures) deformation elastic constants honeycomb structures shear modulus There is a current interest in the mechanical properties of two-dimensional and three-dimensional lattice materials. For example, 2D lattices exist as an array of ceramic prismatic tubes in catalytic...