... that control the crack growth trajectory in cortical bone have not been completely understood. biomechanics bone crystal microstructure elastic moduli fibre reinforced composites finite element analysis fracture toughness microcracks The incidents of bone fracture increases with age...

... ∗ d ε k k . The two functions μ ( t ) and k ( t ) are the isotropic relaxation functions in shear and dilatation, respectively. acoustic wave velocity creep differentiation elastic moduli integration polynomials stress analysis stress relaxation...

... stress field analysis delamination elastic moduli glass mechanical testing polymer films interface adhesion mode-mixity bulge testing PDMS Relatively weak, reversible adhesion between soft films and comparatively rigid substrates is widely exploited in many applications, notably...

...J. Li; M. Ostoja-Starzewski Fractal patterns are observed in computational mechanics of elastic-plastic transitions in two models of linear elastic/perfectly plastic random heterogeneous materials: (1) a composite made of locally isotropic grains with weak random fluctuations in elastic moduli...

... Problems Containing Multiple Defects,” J. Eng. Mech., 130(5), pp. 589–598 . It is found that there is an inherent relation between the M -integral and the reduction of the effective elastic moduli as the orientation of one crack varies, i.e., the larger the M -integral is, the larger the reduction...

... materials, the parameters are chosen as follows: elastic moduli E i = 210   GPa and E j = 100   GPa , Poisson’s ratios ν i = 0.25 and ν j = 0.33 , yield strengths σ y i = 210   MPa and σ y j = 100   MPa , v i...

..., the apparent modulus of the composite may be significantly less than that found by a conventional application of the rule-of-mixtures approach. 26 12 2006 24 03 2009 21 07 2009 automotive components belts composite materials elastic moduli elasticity internal stresses steel tyres...

... 06 2008 09 03 2009 adhesion buckling ceramics cracks elastic moduli friction indentation mechanical contact polymers steel tensile strength Adhesion by surface patterning is a common reversible fixation mechanism in biology. For example, the cordulegastrid dragonfly...

..., are employed by the extended method. Finally, the global equation system is solved and the solutions give the formulations of the microstress field and the global elastic moduli of material. The introduction of quadrilateral subcells increases the efficiency of modeling the material’s microstructure...

... fraction was derived from this data, and this relation was used to obtain the elastic gradient from the volume fraction gradient. 05 12 2007 05 06 2008 06 11 2008 bending crack-edge stress field analysis eigenvalues and eigenfunctions elastic moduli plates (structures...

... ( 0 , − i h j k n ( x 1 + p k x 3 ) ) ] where γ E represents Euler’s constant, and w k n , g j l m , and h j l m are the constants in Eq. 47 . First, surface stress and surface elastic moduli...

...Marek-Jerzy Pindera; Glaucio H. Paulino 24 07 2008 boundary-value problems cracks elastic moduli elasticity fracture mechanics functionally graded materials Professor Fazil Erdogan has influenced several generations of applied and solid mechanicians working in the area...

... of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials ,” Exp. Mech. 0014-4851 , 46 , pp. 179 – 196 . 24 05 2007 07 02 2008 10 07 2008 cracks deformation elastic moduli filled polymers finite element analysis fracture mechanics functionally graded...

... good accuracy over a substantial range of roughness values. 13 02 2007 24 04 2007 14 01 2008 elasticity elastic moduli boundary-elements methods inclusions perturbation theory boundary perturbation rigid inclusions cavities effective moduli Determination...

... buckling load accurately even for plates with large cutouts. Micromechanics based approach is used to study the effect of variation in microlevel constituents on the effective macrolevel properties like elastic moduli. Consequently, the effect of uncertainty in these material properties on the buckling...

... into account the surface/interface stress effects. A closed-form analytical solution is obtained by using the complex potential function method of Muskhelishvili. Selected numerical results are presented to investigate the size dependency of the elastic field and the effects of surface elastic moduli...

... − 1 ) μ m 2 μ i + ( κ i − 1 ) μ m ] where now κ = 3 - 4 ν , with ν denoting (in-plane) Poisson’s ratio. Eshelby ( 8 ) and independently Hashin ( 9 ) have obtained the following effective elastic moduli for the three-dimensional problem...

... mesa. Configurations of one, two, and three islands at different positions on the mesa are considered to determine their relative energies as a function of mesa size, island size, mismatch strain between the island and substrate materials, surface energy, and elastic moduli. Insight is offered...

... flow instability entropy density specific heat elastic moduli compressible flow equations of state In thermodynamics of fluids one encounters different notions of stable equilibrium. One is that internal energy is a convex function of entropy and specific volume. Another is that certain...

.... Herein, we do so by estimating the elastic moduli of periodic composites characterized by repeating unit cells obtained by rotation of an infinite square fiber array through an angle about the fiber axis. Such unit cells possess no planes of material symmetry in the rotated coordinate system, and may...