New sets of spectral invariants for electro-elastic bodies with one and two families of fibres

2016 ◽  
Vol 58 ◽  
pp. 42-53 ◽  
Author(s):  
R. Bustamante ◽  
M.H.B.M. Shariff
Keyword(s):  
Spectral Invariants ◽  
Elastic Bodies

Nonlinear electro-elastic bodies with residual stresses: spectral formulation

2018 ◽  
Vol 71 (4) ◽  
pp. 485-504 ◽  
Author(s):  
M H B M Shariff ◽  
R Bustamante ◽  
J Merodio
Keyword(s):  
Residual Stress ◽  
Residual Stresses ◽  
Total Energy ◽  
Energy Function ◽  
Cylindrical Symmetry ◽  
Specific Form ◽  
Spectral Invariants ◽  
Elastic Bodies ◽  
The Right ◽  
Constitutive Formulation

Abstract In the present article, a spectral model is developed for residually stressed electro-elastic bodies. The model uses a total energy function that depends on the right stretch tensor, residual stress tensor and one of the electric variables. Some boundary value results with cylindrical symmetry are given. Results for the inflation of a hollow sphere, where the residual stress is assumed to depend only on the radial position, are also given. The constitutive formulation contains spectral invariants that have an immediate physical interpretation which is useful in a rigorous construction of a specific form of the total energy function via an appropriate experiment

scholarly journals A novel spectral formulation for transversely isotropic magneto-elasticity

2015 ◽  
Vol 22 (5) ◽  
pp. 1158-1176 ◽  
Author(s):  
M.H.B.M. Shariff ◽  
Roger Bustamante ◽  
Mokarram Hossain ◽  
Paul Steinmann
Keyword(s):  
Boundary Value Problems ◽  
Physical Interpretation ◽  
Transversely Isotropic ◽  
The Novel ◽  
Elastic Materials ◽  
Spectral Invariants ◽  
Elastic Bodies ◽  
Invariant Formulation ◽  
Different Types ◽  
Spectral Invariant

Classical invariants, despite most of them having unclear physical interpretation and not having experimental advantages, have been extensively used in modeling nonlinear magneto-elastic materials. In this paper, a new set of spectral invariants, which have some advantages over classical invariants, is proposed to model the behavior of transversely isotropic nonlinear magneto-elastic bodies. The novel spectral invariant formulation, which is shown to be more general, is used to analytically solve some simple magneto-mechanical boundary value problems. With the aid of the proposed spectral invariants it is possible to study, in a much simpler manner, the effect of different types of deformations on the response of the magneto-elastic material.

Bulk consolidation of inhomogeneously aging elastic bodies

1989 ◽  
Vol 25 (5) ◽  
pp. 448-454 ◽  
Author(s):  
N. Kh. Arutyunyan ◽  
A. D. Drozdov
Keyword(s):  
Elastic Bodies

scholarly journals Multibody Systems with Flexible Elements

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1359
Author(s):  
Marin Marin ◽  
Dumitru Băleanu ◽  
Sorin Vlase
Keyword(s):  
Multibody Systems ◽  
Computer Assisted ◽  
Elastic Bodies ◽  
Algorithmic Analysis

The formalism of multibody systems offers a means of computer-assisted algorithmic analysis and a means of simulating and optimizing an arbitrary movement of a possible high number of elastic bodies in the connection [...]

scholarly journals On the contact problem of layered elastic bodies

1967 ◽  
Vol 25 (3) ◽  
pp. 233-242 ◽  
Author(s):  
Ting-Shu Wu ◽  
Y. P. Chiu
Keyword(s):  
Contact Problem ◽  
Elastic Bodies
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