Topic
Micromechanics
About: Micromechanics is a research topic. Over the lifetime, 6000 publications have been published within this topic receiving 162635 citations.
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TL;DR: In this article, the effective elastic properties of metal-ceramic interpenetrating phase composites (IPC) were estimated using approximate analytical models such as Feng's and Tuchinskii's model and checked against Voigt, Reuss and Hashin-Shtrikman bounds.
63 citations
TL;DR: In this paper, a variational formulation is applied to the nonlinear field equations in order to find a weak form, which can be solved numerically by using open-source codes.
Abstract: The theory of linear elasticity is insufficient at small length scales, e.g., when dealing with micro-devices. In particular, it cannot predict the “size effect” observed at the micro- and nanometer scales. In order to design at such small scales an improvement of the theory of elasticity is necessary, which is referred to as strain gradient elasticity. There are various approaches in literature, especially for small deformations. In order to include geometric nonlinearities we start by discussing the necessary balance equations. Then we present a generic approach for obtaining adequate constitutive equations. By combining balance equations and constitutive relations nonlinear field equations result. We apply a variational formulation to the nonlinear field equations in order to find a weak form, which can be solved numerically by using open-source codes. By using balances of linear and angular momentum we obtain the so-called stress and couple stress as tensors of rank two and three, respectively. Since dealing with tensors an adequate representation theorem can be applied. We propose for an isotropic material a stress with two and a couple stress with three material parameters. For understanding their impact during deformation the numerical solution procedure is performed. By successfully simulating the size effect known from experiments, we verify the proposed theory and its numerical implementation. Based on representation theorems a self consistent strain gradient theory is presented, discussed, and implemented into a computational reality.
63 citations
TL;DR: In this article, the authors combine the strengths of micro-damage mechanics (MDM) and continuum damage mechanics (CDM) in predicting the stiffness degradation due to presence of transverse cracks.
63 citations
TL;DR: In this article, transverse cracks in cross-ply laminates are investigated experimentally to reveal the essential characteristics of their opening displacement under tensile loads and the average crack opening displacement is studied as a function of the longitudinal overall strain and the effects of matrix toughness and transverse ply thickness.
Abstract: Transverse cracks in cross-ply laminates are investigated experimentally to reveal the essential characteristics of their opening displacement under tensile loads. The average crack opening displacement is studied as a function of the longitudinal overall strain and the effects of matrix toughness and transverse ply thickness on this parameter are examined. The interactive effects between closely spaced transverse cracks are also ex- amined and found to be significant. Implications of the experimentally observed features on the micromechanics and continuum damage type models are discussed.
63 citations
TL;DR: Aghdam et al. as discussed by the authors extended the simplified unit cell (SUC) model to study effects of random fiber arrangement on the mechanical and thermal characterizations of unidirectional composites.
63 citations