Representation of the constitutive equation of viscoelastic materials by the generalized fractional element networks and its generalized solutions

2003 ◽  
Vol 46 (2) ◽  
pp. 145 ◽  
Author(s):  
Mingyu XU
Keyword(s):  
Constitutive Equation ◽  
Generalized Solutions ◽  
Viscoelastic Materials

A constitutive equation for fiber reinforced viscoelastic materials

1970 ◽  
Vol 9 (1-2) ◽  
pp. 49-53 ◽  
Author(s):  
R. R. Nachlinger ◽  
H. H. Calvit
Keyword(s):  
Constitutive Equation ◽  
Fiber Reinforced ◽  
Viscoelastic Materials

Application of Irreversible Thermodynamics in Finite Viscoelastic Deformations

1965 ◽  
Vol 32 (3) ◽  
pp. 623-629 ◽  
Author(s):  
George Lianis
Keyword(s):  
Constitutive Equation ◽  
Finite Deformation ◽  
Small Deviation ◽  
Irreversible Thermodynamics ◽  
The State ◽  
Reference State ◽  
Static Deformation ◽  
Viscoelastic Materials ◽  
Long Time ◽  
Dynamic Strains

In this paper, Onsager’s principle of irreversible thermodynamics is applied to viscoelastic materials subjected to finite deformation. The constitutive equation of Ref. [10] for small dynamic strains superposed on a finite static deformation is used. The state of the resulting deformation can be considered as a small deviation from an equilibrium reference state. The latter is the state of equilibrium of a material subjected to a finite deformation in which the material is maintained for a long time.

A New Constitutive Equation to Represent Drilling Fluids

2018 ◽  
Author(s):  
Tainan Gabardo ◽  
Cezar Otaviano Ribeiro Negrao
Keyword(s):  
Constitutive Equation ◽  
Drilling Fluids

BENDING OF A SUBTLE-FINISHED PLATE ON ELASTIC BASE WITH SPECIAL CONDITIONS OF ITS WORK

2019 ◽  
pp. 424-430
Author(s):  
A. T. Marufiy ◽  
A. S. Kalykov
Keyword(s):  
Analytical Solution ◽  
Working Conditions ◽  
Fourier Transforms ◽  
Infinite Plate ◽  
Elastic Base ◽  
Generalized Solutions ◽  
Middle Plane ◽  
Actual Working

In this article, an analytical solution is obtained for the problem of bending a semi-infinite plate on an elastic Winkler base, taking into account incomplete contact with the base and the influence of longitudinal forces applied in the middle plane of the plate. The analytical solution is obtained by the method of generalized solutions using integral Fourier transforms. Any analytical solution is the result, approaching the actual working conditions of the designed structures.

Fiber symmetry

2017 ◽  
Author(s):  
David J. Steigmann
Keyword(s):  
Composite Materials ◽  
Constitutive Equation ◽  
Transversely Isotropic ◽  
Fiber Reinforced ◽  
Fiber Reinforced Materials ◽  
Reinforced Materials

This chapter develops the general constitutive equation for transversely isotropic, fiber-reinforced materials. Applications include composite materials and bio-elasticity.

Wave propagation dynamics in a fractional Zener model with stochastic excitation

2020 ◽  
Vol 23 (6) ◽  
pp. 1570-1604
Author(s):  
Teodor Atanacković ◽  
Stevan Pilipović ◽  
Dora Seleši
Keyword(s):  
Wave Propagation ◽  
Constitutive Equation ◽  
Equations Of Motion ◽  
Weak Form ◽  
Stochastic Excitation ◽  
Expansion Theorem ◽  
Zener Model ◽  
Dissipation Inequality ◽  
Regularity Properties ◽  
Fractional Zener Model

Abstract Equations of motion for a Zener model describing a viscoelastic rod are investigated and conditions ensuring the existence, uniqueness and regularity properties of solutions are obtained. Restrictions on the coefficients in the constitutive equation are determined by a weak form of the dissipation inequality. Various stochastic processes related to the Karhunen-Loéve expansion theorem are presented as a model for random perturbances. Results show that displacement disturbances propagate with an infinite speed. Some corrections of already published results for a non-stochastic model are also provided.

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