白酒销售话术.ppt
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1、 Copyright 2006 ABAQUS, Inc. Time Domain Viscoelasticity Lecture 8 Modeling Rubber and Viscoelasticity with ABAQUS L8.2 Copyright 2006 ABAQUS, Inc. Overview Classical Linear Viscoelasticity Prony Series Representation Finite-Strain Viscoelasticity Relaxation and Creep Test Data Prony Series Data Aut
2、omatic Material Evaluation Usage Hints Copyright 2006 ABAQUS, Inc. Classical Linear Viscoelasticity Modeling Rubber and Viscoelasticity with ABAQUS L8.4 Copyright 2006 ABAQUS, Inc. Classical Linear Viscoelasticity Recall that classical means small-strain theory. In ABAQUS this means: relaxation/cree
3、p behavior defined by *VISCOELASTIC elasticity is defined by *ELASTIC Isotropic linear viscoelasticity is implemented in ABAQUS Modeling Rubber and Viscoelasticity with ABAQUS L8.5 Copyright 2006 ABAQUS, Inc. Classical Linear Viscoelasticity To generalize the viscoelastic equations to multiaxial str
4、ess states it is best to work with shear (deviatoric) and volumetric (dilatational) behavior: where S is the deviatoric stress tensor and p is the hydrostatic pressure. ( )() 00 0 0 1( ) ( ) dG tttd Gd t tt t =+-SSS ( )() 00 0 0 1( ) ( ) dK p tp tptd Kd t tt t =+- Modeling Rubber and Viscoelasticity
5、 with ABAQUS L8.6 Copyright 2006 ABAQUS, Inc. Classical Linear Viscoelasticity Definitions We decompose the total stress into shear and volumetric parts by: We decompose the total strain into shear and volumetric parts by: The elastic stress-strain relations decompose into: where are the deviatoric
6、and pressure stress states that would exist for the current strain state if the material were behaving purely elastically. 112233 11 ( )() 33 pptrsss=-= -= -+SIwhere.ssss 112233 1 ( )() 3 volvol treeeee=+=+eIwhere.eeee 0000 ( )( )( ) vol tGtp tKe=eand,S S 00 ( )( )tp tSand Copyright 2006 ABAQUS, Inc
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