... the microplane model M7. The present use of displacement vector curvature also implies significant changes for continuum mechanics of damage in heterogeneous materials, including the homogenization theories [ 22 , 23 , 28 – 35 ]. By extensive comparisons with numerous experiments, a recent study in 2022 [ 5...

... 1 Corresponding author. Email: z-bazant@northwestern.edu Contributed by the Applied Mechanics Division of ASME for publication in the J ournal of A pplied M echanics . 02 11 2022 18 11 2022 18 11 2022 13 01 2023 continuum mechanics fracture mechanics damage...

...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...

... the problem of interest in the present work and consider a biaxial tension of a thin material sheet. Since the sheet is made of a single atomic layer and the out-of-plane strains and stresses might be difficult to interpret, we restrict the considerations to the in-plane 2D continuum mechanics. 27 04...

...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...

... the sandwich is carried up to failure in bending loading. A range of sandwich structures with different perforated polymer cores were realized and tested in bending up to irreversible damage. beams (structures) bending continuum mechanics numerical analysis polymers porous materials sandwich...

..., 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. Figure 8 illustrates the error in the estimate provided by Eq. 36...

... 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...

... of the clamped-clamped microbeam system for the one-sided electrode configuration 12 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...

... buckling continuum mechanics elasticity mechanical stability sliding friction strips vibrations The primary goal of this study on a constrained elastica is to understand the behavior of a thin elastic strip under external compression when it is subjected to lateral constraints. This type...

...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...

... on. continuum mechanics eigenvalues and eigenfunctions elasticity finite element analysis optimisation tensors topology 24 05 2007 27 03 2008 15 07 2008 Iteration histories of the supremums of the intervals of the reference strain of the structure with different initial...

... 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...

... wave reflection and transmission at the boundary of two media with microstructures of very different scales. 02 07 2005 24 01 2006 deformation continuum mechanics crystal microstructure nanostructured materials The design and application of micro-heterogeneous materials...

...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...

.... It is shown that logarithmic spirals form a class of solution trajectories and they result in exponential convergence of the configuration variables. 23 02 2005 28 10 2005 continuum mechanics kinematics The rolling sphere epitomizes the complexity of diverse problems in mechanics...

... loading. CDM provides methods to develop constitutive equations within the concept of continuum mechanics to deal with the gradual degradation of materials during loading. In recent years, the implications of the second law of thermodynamics on CDM theories have been scrutinized to give guidance...