THE ELASTIC CONSTANTS OF AN ISOTROPIC MEDIUM CAN HAVE ARBITRARY VALUES | Sciact

THE ELASTIC CONSTANTS OF AN ISOTROPIC MEDIUM CAN HAVE ARBITRARY VALUES Научная публикация

Журнал

Mechanics of Solids
ISSN: 0025-6544

Вых. Данные

Год: 2025, Том: 60, Номер: 5, Страницы: 3397-3410 Страниц : 14 DOI: 10.1134/S0025654424607237

Ключевые слова

ISOTROPIC MATERIAL, ELASTIC CONSTANTS, YOUNG’S MODULES, SHEAR, BULK, POISSON’S RATIO, “NEGATIVE” MATERIALS, METAMATERIALS, FOUR-DIMENSIONAL ISOTROPIC MEDIUM, PROPER MODULES AND STATES

Авторы

OSTROSABLIN N.I. ¹

Организации

1	Lavrent’ev Institute of Hydrodynamics, Siberian branch, RAS, Novosibirsk, Russia

Using the example of the matrix of elastic constants of an isotropic material, it is shown that the Young’s modulus, shear modulus, volume modulus, and Poisson’s ratio can take any real values. In this case, the positive definiteness of the matrix of elastic constants is not mandatory, as is traditionally assumed. The positivity of the specific strain energy also occurs when the matrix of elastic constants is not positive definite. It is sufficient for the invertibility of the relations of Hooke’s law to require the non-degeneracy of the matrix of elasticity constants. Graphs of Young’s modules, volume and Poisson’s ratio depending on the ratio of Lame constants are given.

OSTROSABLIN N.I.
THE ELASTIC CONSTANTS OF AN ISOTROPIC MEDIUM CAN HAVE ARBITRARY VALUES
Mechanics of Solids. 2025. V.60. N5. P.3397-3410. DOI: 10.1134/S0025654424607237

Остросаблин Н.И.
ПОСТОЯННЫЕ УПРУГОСТИ ИЗОТРОПНОЙ СРЕДЫ МОГУТ ИМЕТЬ ПРОИЗВОЛЬНЫЕ ЗНАЧЕНИЯ
Известия Российской академии наук. Механика твердого тела. 2025. №5. С.49-70. DOI: 10.31857/S1026351925050037 РИНЦ

Опубликована в печати:

10 сент. 2025 г.

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