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• W2182594562 abstract "Abstract. In this paper, the properties of the hysteretic media are investigated via the virtual internal bond model (VIB) derived from the hyperelasticity with the integration of the 6–12 Lennard-Jones atomic interacting potential. Key words: hysteretic media, virtual internal bond model, hyperelasticity, Lennard-Jones potential. 1. INTRODUCTION The randomized cohesive interactions between material particles play an important role in the predicting the dynamic fracture of materials [1]. A highly promising virtual internal bond (VIB) model in the simulation of fracture was proposed by [2–4] with the integration of the 6–12 Lennard-Jones atomic interacting potential. The VIB model differs from an atomistic model in that a cohesive force law is assumed to act between material particles which are not necessarily atoms. It also differs from a cohesive surface model in that, rather than imposing a cohesive law along a prescribed set of discrete surfaces, a randomized network of cohesive bonds is incorporated into the constitutive law of the material and the macroscopic collective behavior of this random bond network is obtained through the so-called Cauchy-Born rule. This rule consists in equating the strain energy function on the continuum level to the potential energy stored in the cohesive bonds due to an imposed deformation [5, 6]. The VIB model is derived from the hyperelastic principle [7] in order to integrate the macroscopic view of cohesive surfaces dispersed in a continuum background with the atomistic view of interatomic bonding. In this paper, some properties of the hysteretic media are investigated by using a VIB model. In recent years, the relevance of nonlinear elastic techniques in the field of nondestructive evaluation (NDE) has been widely demonstrated [8, 9]. A 2D approach to the simulation of ultrasonic wave propagation in nonclassical" @default.
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• W2182594562 date "2011-01-01" @default.
• W2182594562 modified "2023-09-27" @default.
• W2182594562 title "A VIRTUAL INTERNAL BOND MODEL FOR HYSTERETIC MEDIA" @default.
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