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    Discrete and Continuous Models for Dry Masonry Columns

    Source: Journal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 004
    Author:
    Hans-B. Mühlhaus
    ,
    Jean Sulem
    ,
    Philippe Unterreiner
    DOI: 10.1061/(ASCE)0733-9399(1997)123:4(399)
    Publisher: American Society of Civil Engineers
    Abstract: The dynamic response of dry masonry columns can be approximated with finite-difference equations. Continuum models follow by replacing the difference quotients of the discrete model by corresponding differential expressions. The mathematically simplest of these models is a one-dimensional Cosserat theory. Within the presented homogenization context, the Cosserat theory is obtained by making ad hoc assumptions regarding the relative importance of certain terms in the differential expansions. The quality of approximation of the various theories is tested by comparison of the dispersion relations for bending waves with the dispersion relation of the discrete theory. All theories coincide with differences of less than 1% for wave-length–block-height (
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      Discrete and Continuous Models for Dry Masonry Columns

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    contributor authorHans-B. Mühlhaus
    contributor authorJean Sulem
    contributor authorPhilippe Unterreiner
    date accessioned2017-05-08T22:38:17Z
    date available2017-05-08T22:38:17Z
    date copyrightApril 1997
    date issued1997
    identifier other%28asce%290733-9399%281997%29123%3A4%28399%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/84585
    description abstractThe dynamic response of dry masonry columns can be approximated with finite-difference equations. Continuum models follow by replacing the difference quotients of the discrete model by corresponding differential expressions. The mathematically simplest of these models is a one-dimensional Cosserat theory. Within the presented homogenization context, the Cosserat theory is obtained by making ad hoc assumptions regarding the relative importance of certain terms in the differential expansions. The quality of approximation of the various theories is tested by comparison of the dispersion relations for bending waves with the dispersion relation of the discrete theory. All theories coincide with differences of less than 1% for wave-length–block-height (
    publisherAmerican Society of Civil Engineers
    titleDiscrete and Continuous Models for Dry Masonry Columns
    typeJournal Paper
    journal volume123
    journal issue4
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1997)123:4(399)
    treeJournal of Engineering Mechanics:;1997:;Volume ( 123 ):;issue: 004
    contenttypeFulltext
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