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STRESS ANALYSIS OF RUBBER BLOCKS UNDER VERTICAL LOADING AND SHEAR LOADING

Suh, Jong Beom
http://rave.ohiolink.edu/etdc/view?acc_num=akron1185822927

Abstract Details

2007, Doctor of Philosophy, University of Akron, Mechanical Engineering.
Rubber blocks (or springs) are structural components used in many applications. They have various shapes and the loading directions are different depending on the application. Stress responses of rubber blocks under two loading directions have been studied separately. First, design characteristics of rubber blocks under vertical loading were studied for two sets of contact conditions. The characteristics are an apparent (or compression) modulus, contact shear and normal stresses. Rubber blocks bonded to two rigid plates is the initial set. This problem has been solved previously. However, the problem of the other set, rubber blocks with one surface bonded to a rigid plate and the other surface in contact with a frictional surface, has been little published. Approximate solutions for rectangular blocks in plane strain and for axi-symmetric discs are derived under the assumption of Coulomb frictional contact, treating rubber as linear elastic incompressible material. Design characteristics are compared with FEA and experimental results with shape factors (1 to 6). It was found that friction coefficient plays an important role in design characteristics. Second, FEA calculations have been carried out for a rubber shear spring model, consisting of a block of an incompressible highly-elastic material, bonded between two rigid plates and sheared by displacing one of the plates parallel to the other. Forces necessary to maintain the deformation were evaluated and stress distributions are reported. Attention is drawn to large tensile stresses that develop in the interior of the block. These are attributed to the stress-free end surfaces. These internal stresses depended strongly on the end surface shape, and decreased markedly when some volume expansion of the rubber was permitted by assigning values to Poisson’s ratio lower than 0.5. Similar to sheared blocks, FEA calculations for a rubber tube model bonded between two axi-symmetric rigid tubes are reported. The tubes were sheared by displacing the inner rigid tube in the two directions, axially parallel to the tube central axis and in azimuthal direction by rotation about the inner tube while the outer tube was held fixed. It was found that the stress responses are analogous to that of sheared blocks.
Graham Kelly (Advisor)
203 p.
Engineering, Mechanical
Incompressible rubber; Contact stress; Friction coefficient; Shape factor; Plane strain; Axi-symmetric disc; Simple shear

Recommended Citations

Citations

  • Suh, J. B. (2007). STRESS ANALYSIS OF RUBBER BLOCKS UNDER VERTICAL LOADING AND SHEAR LOADING [Doctoral dissertation, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1185822927

    APA Style (7th edition)

  • Suh, Jong Beom. STRESS ANALYSIS OF RUBBER BLOCKS UNDER VERTICAL LOADING AND SHEAR LOADING. 2007. University of Akron, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1185822927.

    MLA Style (8th edition)

  • Suh, Jong Beom. "STRESS ANALYSIS OF RUBBER BLOCKS UNDER VERTICAL LOADING AND SHEAR LOADING." Doctoral dissertation, University of Akron, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1185822927

    Chicago Manual of Style (17th edition)

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This open access ETD is published by University of Akron and OhioLINK.