... , 40 ], and Dvorak methods [ 41 ]. However, the extra energy density of damage strain localization was not captured by these methods. It requires an energy-based homogenization and matters only for softening damage. In continuum mechanics of damage of quasibrittle materials, the total energy density...

...Afshin Anssari-Benam; Martino Pani; Andrea Bucchi A popular framework in continuum mechanics modeling of soft tissues is the use of an additive split of the total strain energy function (W) into the contribution of the isotropic matrix (W iso ) and the anisotropic collagen fiber networks (W aniso...

... in the J OURNAL OF A PPLIED M ECHANICS . Manuscript received March 4, 2016; final manuscript received April 1, 2016; published online April 20, 2016. Editor: Yonggang Huang. 04 03 2016 01 04 2016 Continuum Mechanics Fracture Stress intensity factors Lattices have so far...

... potential. A critical failure surface is produced for strains in biaxial tension. It is found that the anisotropy of graphene has a pronounced effect on its strength. graphene strength failure Tersoff-Brenner potential continuum mechanics Generally, a single-atomic-layer graphene sheet...

...S. Narendar; S. Gopalakrishnan In this article, the Eringen’s nonlocal elasticity theory has been incorporated into classical/local Bernoulli-Euler rod model to capture unique properties of the nanorods under the umbrella of continuum mechanics theory. The spectral finite element (SFE) formulation...

... 2010 05 08 2010 12 08 2010 13 10 2010 13 10 2010 beams (structures) bending continuum mechanics numerical analysis polymers porous materials sandwich structures steel The reduction of mass and vibrations in car design suggest using laminated structure...

..., and it is especially valuable for approximating multicoupled, multiphysics problems in continuum mechanics (e.g., coupled heat transfer, fluid flow, and electromagnetics) that are often difficult to analyze numerically or empirically. Scaling is a technique of enormous relevance to science and technology. Scaling...

... 2010 19 08 2010 buckling carbon nanotubes continuum mechanics shells (structures) van der Waals forces Carbon nanotubes (CNTs) possess novel physical properties such as high stiffness-to-weight ratio, high strength-to-weight ratio, and excellent electrical and thermal...

... 02 2009 16 10 2009 09 04 2010 beams (structures) continuum mechanics finite element analysis micromechanical devices reduced order systems Modern treatment of differential equations relies heavily on approximation methods to solve problems of practical interest in macro...

... with clearance. These analyses find applications in a variety of practical problems, such as in nonwoven fabrics manufacturing, electronic circuit strip wiring, and stent deployment procedures. bifurcation buckling continuum mechanics elasticity mechanical stability sliding friction strips...

...İ. Temizer; P. Wriggers 27 09 2007 10 01 2008 17 07 2008 continuum mechanics crystal microstructure deformation mechanical testing micromechanics stress effects In order to characterize the macroscopic behavior of a microscopically heterogeneous material...

... enables one to estimate the size of the representative volume element (RVE), the cornerstone of the separation of scales in continuum mechanics. The method is illustrated on the single-phase and multiphase aggregates, and, generally, it turns out that the RVE is attained with about eight crystals in a 3D...

... 15 07 2008 continuum mechanics eigenvalues and eigenfunctions elasticity finite element analysis optimisation tensors topology Topology optimization is often called as layout optimization or generalized shape optimization. The importance of topology optimization...

... loading history. 26 03 2007 29 08 2007 08 04 2008 bonding processes continuum mechanics elasticity fibre reinforced composites micromechanics continuum damage mechanics homogenization interfacial debonding cohesive zone element principal damage coordinate system...

.... Unilateral effect is a difficult topic [see, for instance, J. L. Chaboche, Int. J. Damage Mech., 2, pp. 311–329 (1993) ] and it seems to us that the model of Mir et al. still raises some questions. glass fibre reinforced composites deformation continuum mechanics The complementary elastic energy...

... as well as the traction boundary condition can be written exactly as the classical elasticity model. However, such a definition of stress is quite different from the conventional definition of Cauchy stress in continuum mechanics as it contains time derivatives of displacement. This type of definition...

...Eun-Suok Oh; Jay R. Walton; John C. Slattery A theory of fracture is presented that is based upon an extension of continuum mechanics to the nanoscale through the incorporation of long-range intermolecular forces which correct bulk material descriptions near interfaces. The surface energy on crack...

... a fundamentally new approach towards solving the reconfiguration problem. continuum mechanics kinematics 23 02 2005 28 10 2005 2006 American Society of Mechanical Engineers ...

... evolution law for this material. The reverse is also true, to get a life-fraction different from unity, we must chose a nonseparable evolution law. 12 01 2005 24 10 2005 continuum mechanics creep fracture At temperatures above about one-third of their homologous temperature, T...

... are carefully compared. 10 04 2005 22 08 2005 carbon nanotubes deformation rolling continuum mechanics bond lengths Carbon nanotubes (CNTs) are extremely thin, hollow cylinders made of carbon atoms. They are very strong, very stiff materials and have good thermal conductivity...