A non-linear integral representation for viscoelastic behaviour

Pipkin, A. C.; Rogers, T. G.

doi:10.1016/0022-5096(68)90016-1

Cited by 277 publications

(118 citation statements)

References 12 publications

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“…widely used for studying the nonlinear viscoelastic response of polymers and other materials [Pipkin and Rogers 1968;Findley et al 1976], but with no reported application for reinforced concrete (to the best of the author's knowledge). Among other nonlinear viscoelastic models, it is chosen here as it skips over the difficulties associated with multiple integral representations (that is, evaluation of a large number of kernel functions) while still predicting the response of many materials with sufficient accuracy [Findley et al 1976].…”

Section: Mathematical Formulationmentioning

confidence: 99%

Nonlinear creep response of reinforced concrete beams

Hamed

2012

J. Mech. Mater. Struct.

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The nonlinear viscoelastic behavior of reinforced concrete beams under sustained loading is investigated in this paper. A theoretical model is developed, which is based on the viscoelastic modified principle of superposition, and accounts for cracking, nonlinear behavior in compression, shrinkage, aging, and the creep rupture phenomenon of concrete. A nonlinear form of the relaxation modulus is presented, which is introduced into the constitutive relations and the corresponding nonlinear rheological Maxwell model, to account for damage. The governing equations are solved through time-stepping numerical integration, which yields an exponential algorithm following the expansion of the relaxation modulus into a Dirichlet series. The determination of the section-equivalent rigidities and creep strains along the cracked and uncracked regions is achieved through an iterative procedure at each time step. The capabilities of the model are demonstrated through numerical examples and parametric studies including comparison with test results available in the literature. The results show that creep has various and different influences on the structural response, and in some cases it may lead to a reduction of the load-carrying capacity of the member by creep rupture-type of failures.

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Section: Mathematical Formulationmentioning

confidence: 99%

Nonlinear creep response of reinforced concrete beams

Hamed

2012

J. Mech. Mater. Struct.

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“…In the nonlinear viscoelasti c approach , the consti tui ti ve relati on is expressed as an integral polynomi al [20]. It is pointed out in Refs .…”

Section: ~~~~~~~~~~~~mentioning

confidence: 99%

“…It is pointed out in Refs . [18] and [20] that although the multiple integra l approach does hol d promise, the experimental data (multistep creep tests ) necessary to implement this theory are generally not available at this ti me .…”

Section: ~~~~~~~~~~~~mentioning

confidence: 99%

Elastic-plastic-creep-large strain analysis at elevated temperature by the finite element method

Haisler

Sanders

1979

Computers & Structures

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“…Pipkin and Rogers (1968) explains how creep force can be modeled for general purposes. Ledesma et al (1996) has further developed Pipkins creep model into a bushing model for MBS.…”

Section: Introductionmentioning

confidence: 99%

odeling of Wind Turbine Gearbox Mounting

Haastrup¹,

Hansen²,

Ebbesen³

2011

MIC

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In this paper three bushing models are evaluated to find a best practice in modeling the mounting of wind turbine gearboxes. Parameter identification on measurements has been used to determine the bushing parameters for dynamic simulation of a gearbox including main shaft. The stiffness of the main components of the gearbox has been calculated. The torsional stiffness of the main shaft, gearbox and the mounting of the gearbox are of same order of magnitude, and eigenfrequency analysis clearly reveals that the stiffness of the gearbox mounting is of importance when modeling full wind turbine drivetrains.

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A non-linear integral representation for viscoelastic behaviour

Cited by 277 publications

References 12 publications

Nonlinear creep response of reinforced concrete beams

Nonlinear creep response of reinforced concrete beams

Elastic-plastic-creep-large strain analysis at elevated temperature by the finite element method

odeling of Wind Turbine Gearbox Mounting

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