Hyperelasticity: Lennard-Jones potentials

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-01-03 DOI:10.1016/j.ijnonlinmec.2025.105014

S.V. Kuznetsov

引用次数: 0

Abstract

A set of the modified Lennard-Jones potentials used for modeling 1D hyperelasticity ensuring (i) positive definiteness of the tangent elastic modulus; (ii) a natural state at zero strain; and, (iii) negative stress at negative strain and vice versa. With these conditions the constructed set of the modified Lennard-Jones potentials allow modeling a broad range of elastic stress-strain states at both static and dynamic loadings. It has also been found that the considered potentials when applied to the problem of acoustic wave propagation, lead to the appearance of shock wave fronts, similar to those observed in bi-modular media with discontinuous elastic moduli.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.