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    Alternative Function to Represent Relaxation Modulus of Viscoelastic Materials

    Source: Journal of Materials in Civil Engineering:;2012:;Volume ( 024 ):;issue: 002
    Author:
    Chun-Hsing Ho
    ,
    Pedro Romero
    DOI: 10.1061/(ASCE)MT.1943-5533.0000378
    Publisher: American Society of Civil Engineers
    Abstract: The generalized Maxwell model has been widely adopted for the prediction of relaxation modulus of viscoelastic materials, specifically asphalt materials. For practical reasons, relaxation modulus is rarely measured; instead it is predicted from creep compliance tests. In reality, the generalized Maxwell model is an approximate approach to simplify the process of inverting the Laplace transform of the Prony series function such that the computation process of obtaining relaxation modulus from creep compliance can become less complex. An alternative function can be derived to directly invert the Laplace transform of the Prony series function and predict relaxation moduli of viscoelastic materials. This paper presents a computation procedure on the basis of an alternative function that can be used to predict relaxation moduli of viscoelastic materials. The proposed model is capable of inverting the Laplace transform of the Prony series function and predicting the relaxation moduli of viscoelastic materials with only the component of one Maxwell model and one Kelvin element known as a Burger model. The algorithm presented in the proposed model is simple such that it can reduce the complexity of the computational process of inversing Laplace transform and generating Prony series parameters.
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      Alternative Function to Represent Relaxation Modulus of Viscoelastic Materials

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    http://yetl.yabesh.ir/yetl1/handle/yetl/66744
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    contributor authorChun-Hsing Ho
    contributor authorPedro Romero
    date accessioned2017-05-08T21:55:41Z
    date available2017-05-08T21:55:41Z
    date copyrightFebruary 2012
    date issued2012
    identifier other%28asce%29mt%2E1943-5533%2E0000412.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/66744
    description abstractThe generalized Maxwell model has been widely adopted for the prediction of relaxation modulus of viscoelastic materials, specifically asphalt materials. For practical reasons, relaxation modulus is rarely measured; instead it is predicted from creep compliance tests. In reality, the generalized Maxwell model is an approximate approach to simplify the process of inverting the Laplace transform of the Prony series function such that the computation process of obtaining relaxation modulus from creep compliance can become less complex. An alternative function can be derived to directly invert the Laplace transform of the Prony series function and predict relaxation moduli of viscoelastic materials. This paper presents a computation procedure on the basis of an alternative function that can be used to predict relaxation moduli of viscoelastic materials. The proposed model is capable of inverting the Laplace transform of the Prony series function and predicting the relaxation moduli of viscoelastic materials with only the component of one Maxwell model and one Kelvin element known as a Burger model. The algorithm presented in the proposed model is simple such that it can reduce the complexity of the computational process of inversing Laplace transform and generating Prony series parameters.
    publisherAmerican Society of Civil Engineers
    titleAlternative Function to Represent Relaxation Modulus of Viscoelastic Materials
    typeJournal Paper
    journal volume24
    journal issue2
    journal titleJournal of Materials in Civil Engineering
    identifier doi10.1061/(ASCE)MT.1943-5533.0000378
    treeJournal of Materials in Civil Engineering:;2012:;Volume ( 024 ):;issue: 002
    contenttypeFulltext
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