Semianalytical methods for the determination of the nonlinear parameter of nonlinear viscoelastic constitutive equations from LAOS data

2015 ◽  
Vol 59 (2) ◽  
pp. 525-555 ◽  
Author(s):  
Jung-Eun Bae ◽  
Kwang Soo Cho
Keyword(s):  
Constitutive Equations ◽  
Nonlinear Parameter ◽  
Nonlinear Viscoelastic

scholarly journals On some method of the heredity kernel parameters determination of nonlinear viscoelastic materials under the complex stress state

2019 ◽  
pp. 178-181
Author(s):  
V. S. Reznik
Keyword(s):  
Stress State ◽  
Constitutive Equations ◽  
Strain Tensor ◽  
Complex Stress ◽  
Complex Stress State ◽  
Nonlinear Viscoelastic ◽  
Nonlinear Viscoelastic Materials ◽  
The Relationship ◽  
Kernel Parameters

The deformation of viscoelastic medium given by means of constitutive equations of the hereditary type. These equations establish the relationship between the components of strain tensor, the components of stress tensor and the integral time operator, and contain the set of function and coefficients that are determined from the basic experiments. А method of the heredity kernel parameters determination of nonlinear viscoelastic materials is developed. As the visco-elastic model, the constitutive equations of the hereditary type are chosen in which the relationship between the components of the strain tensor and the stress tensor is given based on the hypothesis of the deviators proportionality. The nonlinearity of the viscoelastic properties is given by the equations of Ratotnov’s type. The method is based on the relations between the creep kernels under complex stress state and the creep kernels under one-dimensional stress state. The method verified experimentally for the problems of determination of creep deformations under combined loading applied to the thin-walled tubular elements made of polyethylene of high density.

On the Nonlinear Viscoelastic Behaviour of the PVC-Coated Fabric

2010 ◽  
Vol 160-162 ◽  
pp. 1476-1481 ◽  
Author(s):  
Wu Lian Zhang ◽  
Xin Ding ◽  
Xu Dong Yang
Keyword(s):  
Viscoelastic Model ◽  
Constitutive Relationship ◽  
Viscoelastic Behaviour ◽  
Viscoelastic Response ◽  
Nonlinear Parameters ◽  
Creep And Recovery ◽  
Nonlinear Viscoelastic ◽  
Coated Fabric ◽  
Nonlinear Viscoelastic Model

The nonlinear viscoelastic response of a PVC-Coated Fabric has been studied. For the needs of the present study, creep and recovery tests in tension of both the warp and the weft directions at the different stress levels were executed while measurements were made of the creep and recovery strain response of the system. For the description of the viscoelastic behaviour of the material, Schapery’s nonlinear viscoelastic model was used. For the description of the nonlinear viscoelastic response and the determination of the nonlinear parameters, a method by using a combination of analytical formulations and numerical procedures based on a modified version of Schapery’s constitutive relationship where an instantaneous plastic and a transient plastic terms were added, has been developed. The method has been successfully applied to the current tests.

scholarly journals Inverse Determination of Constitutive Equations and Cutting Force Modelling for Complex Tools Using Oxley's Predictive Machining Theory

Procedia CIRP ◽  
2015 ◽  
Vol 31 ◽  
pp. 405-410 ◽  
Author(s):  
B. Denkena ◽  
T. Grove ◽  
M.A. Dittrich ◽  
D. Niederwestberg ◽  
M. Lahres
Keyword(s):  
Cutting Force ◽  
Constitutive Equations

scholarly journals Determination of the Principal Stresses of a Snow Cover on a Mountain Slope Using Snow Pressure Gauges

1985 ◽  
Vol 6 ◽  
pp. 215-217 ◽  
Author(s):  
MLtsuo Oh’Izumi ◽  
Tosio Huzioka
Keyword(s):  
Snow Cover ◽  
Principal Stress ◽  
Constitutive Equations ◽  
Vertical Plane ◽  
Strain Rates ◽  
Mountain Slope ◽  
Principal Stresses ◽  
Contour Lines ◽  
Snow Pressure

Principal stresses in a snow cover on a uniform slope were determined by two methods, each using thin pressure gauges to measure snow pressure in the snow. These snow pressures were principal stress σ2on a vertical plane perpendicular to the contour lines and normal compressive stress σθon a plane perpendicular to the vertical plane. In addition, plastic Poisson’s ratio v was estimated in a snow cover on level ground. Estimates of principal strain rates were used to calculate principal stresses and viscosity by two different methods, using estimates of v and the constitutive equations of Yosida (1980) and the derived values of σ2and σθ.For dry and compact snow, σ1and σ3calculated by both methods agreed well with each other, and also with values obtained by the hole-mark method reported by Shimizu and Huzioka (1975).

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