Compression of Bonded Annular Rubber Blocks

• Published in: Journal of engineering mechanics Vol. 121; no. 6; pp. 661 - 666
• Main Authors: Ling, Yun, Engel, Peter A, Brodsky, William L
• Format: Journal Article
• Language: English
• Published: Reston, VA American Society of Civil Engineers 01.06.1995
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Static elasticity; Static elasticity (thermoelasticity...); Structural and continuum mechanics; TECHNICAL PAPERS; Antivibration device; Compression; Rubbers; Numerical method; Variational methods; Annular configuration
• ISSN: 0733-9399; 1943-7889
• DOI: 10.1061/(ASCE)0733-9399(1995)121:6(661)

The load-deflection relation and stress distribution of bonded annular rubber blocks are first derived by an approximate-linear approach. The solution approaches the exact relation asymptotically as the block thickness reduces. A general formula for the nonlinear load-deflection relation is then presented, based on a variational method, in which no specific form of the strain-energy function is required. An explicit approximate analytical solution is obtained by applying the general formula to a neo-Hookean material. The approximate solutions are compared with the finite-element analysis. The relationships among the stiffness, the shape factor s , and the diameter ratio are explored in detail and some interesting phenomena are observed. For example, a centrally placed tiny hole in a very thin circular disk can cause a sharp drop in its stiffness.