Determination of Accurate Creep Compliance and Relaxation Modulus at a Single Temperature for Viscoelastic Solids

Kim, Jaeseung; Sholar, Gregory A.; Kim, Sungho

doi:10.1061/(asce)0899-1561(2008)20:2(147)

Cited by 53 publications

(18 citation statements)

References 8 publications

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“…The parameters that define the constitute properties may be found through creep or relaxation tests (Miranda Guedes et al, 1998;Park and Y.Kim, 2001), or by measuring the response to cyclic oscillations (Arzoumanidis and Liechti, 2003;Kim et al, 2008); in some cases they are directly furnished by the manufactures (Bennison and Stelzer, 2009). Temperature dependence may be taken into account using the Williams-Landel-Ferry model (Williams et al, 1955).…”

Section: Introductionmentioning

confidence: 99%

Laminated beams with viscoelastic interlayer

Galuppi

Royer-Carfagni

2012

International Journal of Solids and Structures

115

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a b s t r a c tWe analytically solve the time-dependent problem of a simply-supported laminated beam, composed of two elastic layers connected by a viscoelastic interlayer, whose response is modeled by a Prony's series of Maxwell elements. This case applies in particular to laminated glass, a composite made of glass plies bonded together by polymeric films. A practical way to calculate the response of such a package is to consider also the interlayer to be linear elastic, assuming its equivalent elastic moduli to be the relaxed moduli under constant strain, after a time equal to the duration of the design action. The obtained results, that are confirmed by a full 3-D viscoelastic finite-element numerical analysis, emphasize that there is a noteworthy difference between the state of strain and stress calculated in the full-viscoelastic case or in the aforementioned ''equivalent'' elastic problem.

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Section: Introductionmentioning

confidence: 99%

Laminated beams with viscoelastic interlayer

Galuppi

Royer-Carfagni

2012

International Journal of Solids and Structures

115

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“…27,28 This effort resolved the issues associated with the application of the "discrete" Fourier transform on data that is considered non-periodic and has virtually no frequency component contained within the poles of the material response. These issues are discussed in detail within section 2.2.…”

Section: Resultsmentioning

confidence: 99%

Mechanical Testing Device for Viscoelastic Biomaterials

Berg

Nelson²

2010

Journal of Medical Devices

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Nearly all biologic tissues exhibit viscoelastic behavior. This behavior is characterized by hysteresis in the response of the material to load or strain. This information can be utilized in extrapolation of life expectancy of vascular implant materials including native tissues and synthetic materials. This behavior is exhibited in many engineering materials as well such as the polymers PTFE, polyamide, polyethylene, etc. While procedures have been developed for evaluating the engineering polymers the techniques for biologic tissues are not as mature. There are multiple reasons for this. A major one is a cultural divide between the medical and engineering communities. Biomedical engineers are beginning to fill that void.A digitally controlled drivetrain designed to evaluate both elastic and viscoelastic characteristics of biologic tissues has been developed. The initial impetus for the development of this device was to evaluate the potential for human umbilical tissue to serve as a vascular graft material. The consequence is that the load frame is configured for membrane type specimens with rectangular dimensions of no more than 25mm per side. The designed load capacity of the drivetrain is to impose an axial load of 40N on the specimen.This drivetrain is capable of assessing the viscoelastic response of the specimens by four different test modes: stress relaxation, creep, harmonic induced oscillations, and controlled strain rate tests.The fluorocarbon PTFE has mechanical properties commensurate with vascular tissue.In fact, it has been used for vascular grafts in patients who have been victims of various traumas. Hardware and software validation of the device was accomplished by testing PTFE and comparing the results to properties that have been published by both researchers and manufacturers. LIST OF TABLES LIST OF FIGURES ACKNOWLEDGMENTSThe author wishes to express sincere appreciation to Professors Nelson, Barton, and Gu for their assistance in the preparation of this manuscript. In addition, special thanks to Dr.

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“…The parameters G ∞ , G j , θ j can be obtained through the relaxation tests (Miranda Guedes et al 1998;Park and Kim 2001) or by measuring the response to cyclic oscillations (Arzoumanidis and Liechti 2003;Kim et al 2008). Based on the Boltzmann superposition principle (Boltzmann 1874), the constitutive equation for interlayer i is given by…”

Section: Equations For a Viscoelastic Interlayermentioning

confidence: 99%

2-D elasticity solution of layered composite beams with viscoelastic interlayers

Zhou

Liu

2015

Mech Time-Depend Mater

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This paper focuses on the mechanical properties of layered composite beams with viscoelastic interlayers. The exact two-dimensional elasticity theory is used to represent the deformation of each beam layer. The viscoelastic interlayer is described by the MaxwellWiechert model through the quasi-elastic approximation, which greatly simplifies the analytical process. The stress function with a series of undetermined coefficients depending on the time variable is derived for each beam layer. No matter how many layers the beam includes, the total solution can be obtained rapidly and efficiently by using the recursive matrix technique. The present method can give the exact stress and deformation distributions in the beam, which cannot be predicted by the approximate theories such as the one-dimensional Euler-Bernoulli theory. The convergence of the solution is numerically verified. A comparison study indicates that the present results are in agreement with those obtained from the finite element method; however, they have obvious differences from the results based on the Euler-Bernoulli theory for thick beams. Finally, the variations of stresses and displacements with respect to time in a five-layer beam are discussed in detail.

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Determination of Accurate Creep Compliance and Relaxation Modulus at a Single Temperature for Viscoelastic Solids

Cited by 53 publications

References 8 publications

Laminated beams with viscoelastic interlayer

Laminated beams with viscoelastic interlayer

Mechanical Testing Device for Viscoelastic Biomaterials

2-D elasticity solution of layered composite beams with viscoelastic interlayers

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