• Title/Summary/Keyword: linear viscoelastic

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Analytic solution for the interaction between a viscoelastic Bernoulli-Navier beam and a winkler medium

  • Floris, Claudio;Lamacchia, Francesco Paolo
    • Structural Engineering and Mechanics
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    • v.38 no.5
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    • pp.593-618
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    • 2011
  • This paper deals with the problem of the determination of the response of a viscoelastic Bernoulli-Navier beam, which is resting on an elastic medium. Assuming uniaxial bending, the displacement of the beam axis is governed by an integro-differential equation. The compatibility of the displacements between the beam and the elastic medium is imposed through an integral equation. In general and in particular in the case of a Boussinesq medium, the solution has to be pursued numerically. On the contrary, in the case of a Winkler's medium the compatibility equation becomes a linear finite relationship, which allows finding an original analytical solution of the problem for both hereditary and aging behavior of the beam. Some numerical examples complete the paper, in which a comparison is made between the hereditary and the aging model for the creep of the beam.

Analysis of thermo-rheologically complex structures with geometrical nonlinearity

  • Mahmoud, Fatin F.;El-Shafei, Ahmed G.;Attia, Mohamed A.
    • Structural Engineering and Mechanics
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    • v.47 no.1
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    • pp.27-44
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    • 2013
  • A finite element computational procedure for the accurate analysis of quasistatic thermorheological complex structures response is developed. The geometrical nonlinearity, arising from large displacements and rotations (but small strains), is accounted for by the total Lagrangian description of motion. The Schapery's nonlinear single-integral viscoelastic constitutive model is modified for a time-stress-temperature-dependent behavior. The nonlinear thermo-viscoelastic constitutive equations are incrementalized leading to a recursive relationship and thereby the resulting finite element equations necessitate data storage from the previous time step only, and not the entire deformation history. The Newton-Raphson iterative scheme is employed to obtain a converged solution for the non-linear finite element equations. The developed numerical model is verified with the previously published works and a good agreement with them is found. The applicability of the developed model is demonstrated by analyzing two examples with different thermal/mechanical loading histories.

Creep Prediction of Chemical Grouted Sands (약액주입 사질고결토의 크리프 예측)

  • Kang, Hee-Bog;Kim, Jong-Ryeol;Kang, Kwon-Soo;Kim, Tae-Hoon;Hwang, Soung-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.2
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    • pp.195-204
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    • 2004
  • A series of constant creep and repeated creep tests are performed to investigate the behavior of visco-elasto-plastic materials of chemical grouted sands. In the result of constant creep test, the material exhibits three types of shear strain : elastic, plastic, viscoelastic. The elastic, plastic and viscoelastic strains are linear, i.e., the strains are proportional to the stresses for loading. Good agreement is found between the predicted viscoelastic and test results by the power law and the generalized model. In the repeated creep test, the instantaneous recoverable strain is time-independent and the magnitude of accumulated plastic strain increases with number of cycles. Also it is seen that the accumulated plastic strains are approximately proportional to stress. There are no significant differences between test results predicted values for first cycle, and the differences increase relatively insignificantly with number of cycles.

Thermal Deformation Analysis of L-shaped Composite During Cure Process by Viscoelastic Model (점탄성을 고려한 L-형상 복합재료 성형시 열변형 해석)

  • Seong, Dong-Yun;Kim, Wie-Dae
    • Composites Research
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    • v.33 no.4
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    • pp.220-227
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    • 2020
  • When curing the composite, the fibers have little thermal deformation, but the resin changes its properties with time and temperature, which leads to residual stress in the product. Residual stress is caused by the difference in the coefficient of thermal expansion of the fibers and resin during the curing process and the chemical shrinkage of the resin. This difference causes thermal deformation such as spring-in and warpage. Thermal deformation of composite structure is important issue on quality of product, and it should be considered in manufacturing process. In this study, a subroutine was developed to predict thermal deformation by applying 3-D viscoelastic model. The finite element analysis was verified by comparing the results of the plate analysis of the 2-D viscoelastic model. Spring-in of L-shaped structure was predicted and analyzed by applying the 3-D viscoelastic model.

A Phenomenological Model for Linear Viscoelasticity of Monodisperse Linear Polymers

  • Cho, Kwang-Soo;Kim, Woo-Sik;Lee, Dong-Ho;Park, Lee-Soon;Min, Kyung-Eun;Seo, Kwan-Ho;Kang, Inn-Kyu;Park, Soo-Young;Kwon, Youngdon
    • Macromolecular Research
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    • v.10 no.5
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    • pp.266-272
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    • 2002
  • Although the reptational model of Doi and Edwards gives a successful description of viscoelasticity of flexible linear polymers, the success is restricted to the terminal region./sup 1/ There have been several attempts to modify the Doi-Edwards model to describe wider range of time or frequency./sup 2-6/ This paper suggests a simple phenomenological model which can describe wider range of molecular weight than such molecular models can. Although our model is a phenomenological one, it is practical and convenient to predict the effect of molecular weight distribution on linear viscoelastic data because of its simple mathematical form.

Seismic equivalent linear response of a structure by considering soil-structure interaction: Analytical and numerical analysis

  • Maroua Lagaguine;Badreddine Sbartai
    • Structural Engineering and Mechanics
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    • v.87 no.2
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    • pp.173-189
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    • 2023
  • For a given structural geometry, the stiffness and damping parameters of the soil and the dynamic response of the structure may change in the face of an equivalent linear soil behavior caused by a strong earthquake. Therefore, the influence of equivalent linear soil behavior on the impedance functions form and the seismic response of the soil-structure system has been investigated. Through the substructure method, the seismic response of the selected structure was obtained by an analytical formulation based on the dynamic equilibrium of the soil-structure system modeled by an analog model with three degrees of freedom. Also, the dynamic response of the soil-structure system for a nonlinear soil behavior and for the two types of impedance function forms was also analyzed by 2D finite element modeling using ABAQUS software. The numerical results were compared with those of the analytical solution. After the investigation, the effect of soil nonlinearity clearly showed the critical role of soil stiffness loss under strong shaking, which is more complex than the linear elastic soil behavior, where the energy dissipation depends on the seismic motion amplitude and its frequency, the impedance function types, the shear modulus reduction and the damping increase. Excellent agreement between finite element analysis and analytical results has been obtained due to the reasonable representation of the model.

Rheological Characterization of Aqueous Poly(Ethylene Oxide) Solutions : Prediction of Stress Relaxation Behavior from Linear Viscoelastic Data

  • 송기원;노동현;장갑식
    • Proceedings of the Korean Fiber Society Conference
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    • 1998.04a
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    • pp.144-147
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    • 1998
  • 다양한 변형 양식에 대한 고분자 물질의 응답특성을 예측하기 위해서는 완화 스펙트럼 H(λ) 또는 선형 완화 탄성율 G(t)를 결정하여야 한다. 완화 스펙트럼은 연속 완화 스펙트럼과 불연속 완화 스펙트럼(혹은 이산 완화 스펙트럼)으로 구분되며, 완화 스펙트럼과 완화 탄성율을 동적 점탄성으로부터 계산할 수 있는 여러 가지 방법들이 많은 연구자들에 의해 수행되어 왔다.(중략)

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In-Plane Gas Permeability Characterization under Viscoelastic Prepreg Consolidation (프리프레그의 점탄성 변형 및 기체 투과현상 연구)

  • 이기준
    • The Korean Journal of Rheology
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    • v.7 no.1
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    • pp.42-49
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    • 1995
  • 항공용 프리프레그의 기체 투과와 creep 변형 현상을 실험과 모델링을 통하여 autoclave 공정의 주요 공정변수인 시간, 온도 그리고 consolidation 압력에 대하여 연구하였 다. 적층된 프리프레그를 이용한 실험을 통하여 진공/autoclave 압력이 프리프레그에 가해졌 을 때 프리프레그의 두께는 선형 점탄성 변형을 나타내며 in-plane 기체 흐름은 투과 hysteresis 와 함께 non-Darcian flow 현상을 나타냄을 보여주었다. 이러한 현상은 bulk dimensional relaxation 그리고 미시적 기공의 구조 재배열이라는 두 가지 점탄성 완화현상 으로 관찰되고 분석되어졌다. Modified Standard Linear Solid (SLS) 점탄성 모델을 사용하 여 실험결과를 분석한 결과 creep relaxation 과 기체투과 속도를 대표하는 모델상수를 결정 할수 있었다.

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