Geometric Optimization in Presence of Contact Singularities
نویسندگان
چکیده
The stress singularity of a sharp wedge contacting a frictionless half plane can be avoided by changing the wedge shape. Shape optimization is accomplished with the geometric strain method (GSM), an optimality criterion method. Several numerical examples are provided for different materials in the wedge and half plane to avoid stress singularity near the sharp corner of the wedge. Optimum wedge shapes are obtained and critical corner angles are compared with the angles from analytical contact mechanics. Numerical results are well matched to analytical and experimental results. It is shown that shape optimization by GSM is a useful tool to reshape the wedge and to avoid a stress singularity. The method applies to more general geometries where the singular behavior would be difficult to avoid by classical means.
منابع مشابه
Geometric optimization in the presence of contact singularities
T h e stress singularity of a sha rp wedge contacting a half p lane can b e avoided by changing t h e wedge shape. Shape optimization is accomplished wi th the geometric s t ra in method (GSM), an optimali ty criterion method. Several numerical examples a r e provided for different materials i n t h e wedge and half plane t o avoid stress singularity near t h e sha rp corner of t h e wedge. Opt...
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