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    Displacements and Stresses in a Two-Dimensional Wedge-Shaped Medium

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 003::page 719
    Author:
    Y.-C. Teng
    ,
    J. T. Kuo
    DOI: 10.1115/1.3423378
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper deals with two-dimensional wedge problems in elastostatics—a single wedge and a welded multiwedge of arbitrary wedge angles and different elastic constants subjected to an inclined line load on the free surface of the wedge; and a single wedge subjected to an Nth multipole line load on the free surface of the wedge. The general expressions of stresses and displacements are obtained, neglecting body forces, in terms of Papkovitch functions. By satisfying the boundary conditions of the wedge problems, the formal solutions of stresses and displacements are obtained. The stresses and displacements for r < r0 and r > r0 , where r0 is the position of load in r-direction, are evluated separately by means of the residue theorem. As examples, numerical results are obtained for several particular cases.
    keyword(s): Stress , Wedges , Theorems (Mathematics) , Force , Boundary-value problems , Elastic constants AND Functions ,
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      Displacements and Stresses in a Two-Dimensional Wedge-Shaped Medium

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164401
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    contributor authorY.-C. Teng
    contributor authorJ. T. Kuo
    date accessioned2017-05-09T01:37:30Z
    date available2017-05-09T01:37:30Z
    date copyrightSeptember, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26015#719_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164401
    description abstractThis paper deals with two-dimensional wedge problems in elastostatics—a single wedge and a welded multiwedge of arbitrary wedge angles and different elastic constants subjected to an inclined line load on the free surface of the wedge; and a single wedge subjected to an Nth multipole line load on the free surface of the wedge. The general expressions of stresses and displacements are obtained, neglecting body forces, in terms of Papkovitch functions. By satisfying the boundary conditions of the wedge problems, the formal solutions of stresses and displacements are obtained. The stresses and displacements for r < r0 and r > r0 , where r0 is the position of load in r-direction, are evluated separately by means of the residue theorem. As examples, numerical results are obtained for several particular cases.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDisplacements and Stresses in a Two-Dimensional Wedge-Shaped Medium
    typeJournal Paper
    journal volume41
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423378
    journal fristpage719
    journal lastpage724
    identifier eissn1528-9036
    keywordsStress
    keywordsWedges
    keywordsTheorems (Mathematics)
    keywordsForce
    keywordsBoundary-value problems
    keywordsElastic constants AND Functions
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 003
    contenttypeFulltext
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