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    Response of Honeycombs Subjected to In Plane Shear

    Source: Journal of Applied Mechanics:;2016:;volume( 083 ):;issue: 006::page 61004
    Author:
    Chen, Youming
    ,
    Das, Raj
    ,
    Battley, Mark
    DOI: 10.1115/1.4032964
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Study on the response of honeycombs subjected to inplane shear helps establish the constitutive relations for honeycombs and shed light on the mechanics of cellular materials. The present study explores the nonlinear elastic response of honeycombs under inplane shear by analyzing the large deflection of cell walls in a unit cell. Governing equations are established which relate the macroscopic response of honeycombs to the deflection of cell walls. Solving these equations, the behavior of regular honeycombs under inplane shear along horizontal (X) and vertical (Y) directions was investigated. It is found that the response of regular honeycombs under inplane shear depends on the nondimensional shear stress which is a parameter combining the thicknesstolength ratio of cell walls, the Young's modulus of base materials, and macroscopic shear stress. Lateral shrinking is a distinctive characteristic for honeycombs under inplane shear, which should be taken into account when establishing constitutive relations and performing simple shear experiments. Expressions for predicting the shear strength of honeycombs are formulated in this paper. It is noted that the normalized shear strength of regular honeycombs depends on two ratios: the thicknesstolength ratio of cell walls and the ratio of Young's modulus to yield strength of base materials, and the former has a dominant effect. By comparing honeycombs with cell walls of uniform thickness against honeycombs with vertical cell walls of double thickness, it is found that doubling the thickness of vertical cell walls of honeycombs increases their shear strength along horizontal (X) direction nearly twice, but does not improve the shear strength that much along the vertical (Y) direction.
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      Response of Honeycombs Subjected to In Plane Shear

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    contributor authorChen, Youming
    contributor authorDas, Raj
    contributor authorBattley, Mark
    date accessioned2017-05-09T01:25:41Z
    date available2017-05-09T01:25:41Z
    date issued2016
    identifier issn0021-8936
    identifier otherjam_083_06_061004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/160253
    description abstractStudy on the response of honeycombs subjected to inplane shear helps establish the constitutive relations for honeycombs and shed light on the mechanics of cellular materials. The present study explores the nonlinear elastic response of honeycombs under inplane shear by analyzing the large deflection of cell walls in a unit cell. Governing equations are established which relate the macroscopic response of honeycombs to the deflection of cell walls. Solving these equations, the behavior of regular honeycombs under inplane shear along horizontal (X) and vertical (Y) directions was investigated. It is found that the response of regular honeycombs under inplane shear depends on the nondimensional shear stress which is a parameter combining the thicknesstolength ratio of cell walls, the Young's modulus of base materials, and macroscopic shear stress. Lateral shrinking is a distinctive characteristic for honeycombs under inplane shear, which should be taken into account when establishing constitutive relations and performing simple shear experiments. Expressions for predicting the shear strength of honeycombs are formulated in this paper. It is noted that the normalized shear strength of regular honeycombs depends on two ratios: the thicknesstolength ratio of cell walls and the ratio of Young's modulus to yield strength of base materials, and the former has a dominant effect. By comparing honeycombs with cell walls of uniform thickness against honeycombs with vertical cell walls of double thickness, it is found that doubling the thickness of vertical cell walls of honeycombs increases their shear strength along horizontal (X) direction nearly twice, but does not improve the shear strength that much along the vertical (Y) direction.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleResponse of Honeycombs Subjected to In Plane Shear
    typeJournal Paper
    journal volume83
    journal issue6
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4032964
    journal fristpage61004
    journal lastpage61004
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2016:;volume( 083 ):;issue: 006
    contenttypeFulltext
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