Searcharxiv⌕ Search

arXiv subjects

Biswajit Banerjee

Publications and source records attributed to Biswajit Banerjee.

41 records · Page 3Linked to original sources

The Thomsen model of inserts in sandwich composites: An evaluation

An one-dimensional finite element model of a sandwich panel with insert is derived using the approach used in the Thomsen model. The one-dimensional model produces results that are close to those of a two-dimensional axisysmmetric model. Both models assume that the core is homogeneous. Our results indicate that the one-dimensional model may be well suited for small deformations of sandwich specimens with foam cores.

cond-mat.mtrl-sci↗

An evaluation of plastic flow stress models for the simulation of high-temperature and high-strain-rate deformation of metals

Phenomenological plastic flow stress models are used extensively in the simulation of large deformations of metals at high strain-rates and high temperatures. Several such models exist and it is difficult to determine the applicability of any single model to the particular problem at hand. Ideally, the models are based on the underlying (subgrid) physics and therefore do not need to be recalibrated for every regime of application. In this work we compare the Johnson-Cook, Steinberg-Cochran-Guinan-Lund, Zerilli-Armstrong, Mechanical Threshold Stress, and Preston-Tonks-Wallace plasticity models. We use OFHC copper as the comparison material because it is well characterized. First, we determine parameters for the specific heat model, the equation of state, shear modulus models, and melt temperature models. These models are evaluated and their range of applicability is identified. We then compare the flow stresses predicted by the five flow stress models with experimental data for annealed OFHC copper and quantify modeling errors. Next, Taylor impact tests are simulated, comparison metrics are identified, and the flow stress models are evaluated on the basis of these metrics. The material point method is used for these computations. We observe that the all the models are quite accurate at low temperatures and any of these models could be used in simulations. However, at high temperatures and under high-strain-rate conditions, their accuracy can vary significantly.

cond-mat.mtrl-sci↗

The Mechanical Threshold Stress model for various tempers of AISI 4340 steel

Numerical simulations of high-strain-rate and high-temperature deformation of pure metals and alloys require realistic plastic constitutive models. Empirical models include the widely used Johnson-Cook model and the semi-empirical Steinberg-Cochran-Guinan-Lund model. Physically based models such as the Zerilli-Armstrong model, the Mechanical Threshold Stress model, and the Preston-Tonks-Wallace model are also coming into wide use. In this paper, we determine the Mechanical Threshold Stress model parameters for various tempers of AISI 4340 steel using experimental data from the open literature. We also compare stress-strain curves and Taylor impact test profiles predicted by the Mechanical Threshold Stress model with those from the Johnson-Cook model for 4340 steel. Relevant temperature- and pressure-dependent shear modulus models, melting temperature models, a specific heat model, and an equation of state for 4340 steel are discussed and their parameters are presented.

cond-mat.mtrl-sci↗

Effective elastic moduli of polymer bonded explosives from finite element simulations

Finite element analysis has been used successfully to estimate the effective properties of many types of composites. The prediction of effective elastic moduli of polymer-bonded explosives provides a new challenge. These particulate composites contain extremely high volume fractions of explosive particles ($>$ 0.90). At room temperature and higher, the Young's modulus of the particles can be 20,000 times that of the binder. Under these conditions, rigorous bounds and analytical approximations for effective elastic properties predict values that are orders of magnitude different from the experimental values. In this work, an approach is presented that can be used to predict three-dimensional effective elastic moduli from two-dimensional finite element simulations. The approach is validated by comparison with differential effective medium estimates and three-dimensional finite element simulations.

cond-mat.mtrl-sci↗

Simulation of thin hyperelastic shells with the Material Point Method

A non-linear shell theory that includes transverse shear strains and its implementation in the material point method framework are discussed. The applicability of the shell implementation to model large deformations of thin shells is explored. Results suggest that an implicit time stepping scheme may be required for improved modeling of thin shells by the material point method.

cond-mat.mtrl-sci↗