Advances in Engineering Plasticity XI

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Authors: Yi Long Bai, Guang Wen Ma, Sheng Wang Hao, Meng Fen Xia, Fu Jiu Ke
Abstract: This paper briefly reviews our recent analytical and experimental results on 3 interrelated features beyond the peak load in heterogeneous media: continuous bifurcation, damage localization and catastrophic rupture (CR). Firstly, an Elastic Statistically-Brittle model (ESB) was introduced to formulate the basic features of a kind of heterogeneous media, like rocks and cements. The global mean field approximation (GMF) shows that the measure of heterogeneity, like the Weibull modulus m in the distribution of meso-strength plays a key role to distinguish CR from gradual failure. Then, with the ESB model and corresponding experimental results, continuous bifurcation and damage localization are discussed. In accord with these, regional mean field approximation (RMF) is adopted and it shows that any scale of damage localization can satisfy the conservation laws in continuum mechanics. This implies that catastrophic rupture could appear at any state beyond the peak load, depending on the unknown evolution of damage localization zone. Hence, catastrophic rupture seems to occur stochastically at macroscopic level. On the other hand, both experimental and analytic studies demonstrate that a robust power law singularity (-1/2) appears ahead of CR. Preliminary applications of these ideas are briefly described.
Authors: Vikram Deshpande, Tao Liu
Abstract: The response of back-supported buffer plates comprising a solid face sheet and foam core backing impacted by a column of high velocity particles (sand slug) is investigated via a lumped parameter model and coupled discrete/continuum simulations. The numerical calculations show that the momentum transfer is minimised for intermediate values of the core strength when the so-called “soft-catch” mechanism is at play. In this regime the bounce-back of the sand slug is minimised which reduces the momentum transfer. The results demonstrate that appropriately designed buffer plates have potential as impulse mitigators in landmine loading situations
Authors: Nobutada Ohno
Abstract: This lecture presents constitutive modeling of the homogenized elastic-viscoplastic behavior of pore-pressurized anisotropic open-porous bodies. The base solids are assumed to be metallic materials at small strains and rotations. First, by describing micro-macro relations relevant to periodic unit cells of anisotropic open-porous bodies with pore pressure, constitutive features are discussed for the viscoplastic macrostrain rate in steady states. Second, on the basis of the constitutive features found, the viscoplastic macrostrain rate is represented as an anisotropic function of Terzaghi’s effective stress. Third, the resulting viscoplastic equation is used to simulate the homogenized elastic-viscoplastic behavior of an ultrafine plate-fin structure and a thick perforated plate subjected to macroscopic loading in the absence and presence of pore pressure. The corresponding FE homogenization analysis is performed for comparison to validate the developed viscoplastic equation.
Authors: Dai Ning Fang, Xiao Dong Cui
Abstract: The ductile fracture behavior of two-dimensional imperfect lattice material under dynamic stretching is studied by finite element analyses (FEA). Three isotopic lattice materials, including the regular hexagonal honeycomb, the Kagome lattice and the regular triangular lattice, are taken into account, which are made of an elastic/visco-plastic metal material. Two typical imperfections (vacancy defect and rigid inclusion) are introduced separately. The numerical results reveal novel deformation modes and crack growth patterns in the ductile fracture of lattice material. Various crack growth patterns as defined according to their profiles, such as “X”-type, “Butterfly”-type, “Petal”-type. Crack propagation could induce severe material softening and plastic dissipation of the lattices. Subsequently, the effects of the strain rate, relative density, microstructure topology, and defect type on the crack growth pattern, the associated macroscopic material softening and the knock-down of total plastic dissipation are investigated.
Authors: Yi Hui Zhang, Keh Chih Hwang, Yong Gang Huang
Abstract: Recent advances in mechanics and materials provide routes to integrated circuits that offer the electrical properties of conventional, rigid wafer-based technologies but with the ability to be stretched, compressed, twisted, bent and deformed into arbitrary, curvilinear shapes. This paper summarizes developments in this emerging field, with descriptions of application opportunities, fundamental aspects, representative devices, and particularly the effect of plastic deformation.
Authors: Norman Jones
Abstract: It is the purpose of this study to present design equations which can be used to predict the damage of ductile plating when subjected to mass impact, dynamic pressure or impulsive loadings. The external loadings are sufficiently severe to produce inelastic material behaviour and produce finite transverse displacement, or geometry change, effects. The damage is characterised as the final or permanent transverse displacement of a plate. The theoretical method predicts values for the maximum permanent transverse displacements which agree reasonably well with the corresponding experimental results generated on aluminium alloy circular, square and rectangular plates. Thus, the equations presented in this article are valuable for preliminary design purposes and for forensic studies, while the experimental data can be used for validating numerical schemes.
Authors: Rong Hao Bao, T.X. Yu
Abstract: The dynamic behavior of a thin-walled hollow sphere colliding onto a rigid wall has been studied by experiments, numerical simulation and analytical modeling, as reported in our previous papers. In the present paper, the impact crushing of metallic thin-walled hollow spheres onto rigid plates and the subsequent rebound are analyzed using finite element method. The effects of hollow sphere’s thickness-to-radius ratio, the material properties and the impact velocity on the dynamic responses are systematically investigated. The transition from axisymmetric dimpling to non-axisymmetric lobing is found to depend on the relative thickness of spheres and impact velocity; while the coefficient of restitution almost merely depends on impact velocity.
Authors: Steeve Chung Kim Yuen, Gerald Nurick, Nzudzanyo Ranwaha, Travis Henchie
Abstract: This paper presents an experimental investigation into the response of circular Domex-700 MC steel plates to repeated uniform blast loads. The experiments are carried out on a ballistic pendulum for a 3mm thick test plate to witness up to five similar uniform blast loads. As expected, a trend of increasing permanent mid-point deflection is observed for an increase in charge mass and number of blast loads. In general, the results showed that the incremental increase in mid-point deflection decreases while the Vickers hardness of the plate increases with increasing number of blast loads.
Authors: Rafael Celeghini Santiago, Marcilio Alves
Abstract: The mechanical strength of a fiber-metal laminate is not so well explored at high strain rates, although its constituents are prone to exhibit such effects. In this paper, we describe an investigation of aluminium-fiber glass material using the Split Hopkinson bar device. We report on various experimental issues related to these tests, giving some emphasis to the use of high speed filming to obtain information on the specimen strain and strain rate.

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