 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 58, Issue 6 / 2023 | Next article >> |
| Raj Kumar and Paritosh Mahata, "A Strain Energy Density Potential for Non-Crystalline Solids Using Molecular Interactions," Mech. Solids. 58 (6), 2097-2114 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
6 |
Pages |
2097-2114 |
| DOI |
10.3103/S0025654423601052 |
| Title |
A Strain Energy Density Potential for Non-Crystalline Solids Using Molecular Interactions |
| Author(s) |
Raj Kumar (Department of Mechanical Engineering, Birla Institute of Technology, Mesra, Ranchi, 835215 India, rajkumarsingh.epcet@gmail.com)
Paritosh Mahata (Department of Mechanical Engineering, Birla Institute of Technology, Mesra, Ranchi, 835215 India, pmahata@bitmesra.ac.in) |
| 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. |
| Keywords |
strain energy density, molecular interactions, stress-strain, non-crystalline solid phase, finite deformations |
| Received |
23 June 2023 | Revised |
28 August 2023 | Accepted |
18 September 2023 |
| Link to Fulltext |
|
| << Previous article | Volume 58, Issue 6 / 2023 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English