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A Strain Energy Density Potential for Non-Crystalline Solids Using Molecular Interactions

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Abstract

Non-crystalline solids have important applications in engineering and science. To predict the stress-strain behaviour of these materials, this work constructs an efficient strain energy density function using the concepts of molecular interactions. Considering hard contact between molecules, strain energy density of materials is defined in terms of packing fraction (volume occupied by the molecules per unit volume of the material) in deformed configurations. The packing fraction is represented in terms of strain invariants of right Cauchy-Green deformation tensor. Constitutive model obtained from the present strain energy density function is applied for predicting finite deformations of the materials like uniaxial extension, equibiaxial extension, and pure dilation. We observe that increasing reference packing fraction increases the Cauchy stress components. Results obtained from the present theoretical model is compared with experimental results of flexible polyurethane foam materials. We obtain good agreement with the experimental results. The present strain energy density function can be applied for predicting deformation as well as stress-strain behaviour of any other micro/nano components used in engineering systems.

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ACKNOWLEDGMENTS

The authors would like to thank the anonymous referees for their valuable suggestions to enhance the quality of the paper.

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  1. Department of Mechanical Engineering, Birla Institute of Technology, 835215, Mesra, Ranchi, India

    Raj Kumar & Paritosh Mahata

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  1. Raj Kumar
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Kumar, R., Mahata, P. A Strain Energy Density Potential for Non-Crystalline Solids Using Molecular Interactions. Mech. Solids 58, 2097–2114 (2023). https://doi.org/10.3103/S0025654423601052

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