Semiholonomic Second Order Connections Associated with Material Bodies | Zendy

Jaroslav Hrdina | Zendy; Petr Vašík | Zendy

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Semiholonomic Second Order Connections Associated with Material Bodies

Author(s) -

Jaroslav Hrdina,

Petr Vašík

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/840936

Subject(s) - connection (principal bundle) , set (abstract data type) , deformation (meteorology) , constitutive equation , order (exchange) , mathematics , computer science , geometry , structural engineering , materials science , finite element method , composite material , engineering , finance , economics , programming language

The thermomechanical behavior of a material is expressed mathematically by means of one or more constitutive equations representing the response of the body to the history of its deformation and temperature. These settings induce a set of connections which can express local properties. We replace two of them by a second order connection and prove that the holonomity of this connection classifies our materials

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