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Impact on ophthalmic lenses

Paper describes an experimental and analytical investigation of impact of spheres on ophthalmic lenses

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Abstract

A theoretical and experimental investigation was undertaken to examine the impact of spherical strikers on plano ophthalmic lenses composed of glass CR-39 and polycarbonate. The projectiles were either dropped from various heights or fired by means of a compressed-gas pistol. Strain measurements of the event were used to compare the intensity of the various loading conditions.

Statisfactory correlation between analytical, predictions and experimental observations of the initial strain histories were obtained, thus permitting design of the lens-frame system based upon proper modeling of the structure. Failure of the glass lenses was found to be dependent on the intensity of the loading, statistical variations and the nature of the boundary conditions.

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Abbreviations

E s :

modulus of elasticity of striker sphere

E t :

modulus of elasticity of lens target

F :

contact force between striker and target

I :

impulse of forceF

R s :

radius of striker

R t :

radius of curvature of lens target

c :

wave speed

k 2 :

Hertz parameter

m :

striker mass

r :

radial direction

t :

time

v o :

striker initial velocity

w :

shell displacement at impact point

ε:

strain

μ s :

Poisson's ratio of striker

μ t :

Poisson's ratio of target

ρ:

mass density of target

θ:

tangenital direction

σ:

stress

τ:

contact time

References

  1. Goldsmith, W., “Projectile Impact on Glass and Polymeric Ophthalmic Lenses and Circular Plates,”Am. J. of Optometry and Physiological Optics,51 (11),807 (November,1974).

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  2. Goldsmith, W., Impact, Edw. Arnold, London (1960).

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  3. Tsai, Y. M. andDilmanian, K., “Impact of Spheres on Elastic Plates of Finite Thickness,”Developments in Mechanics,6,1009 (1971),Proc. of the 12th Midwestern Mech, Conf.

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  4. Zienkiewicz, O. C., The Finite Element Method in Engineering Science, McGraw-Hill, London (1971).

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  5. Hughes, T. J., Taylor, R. L. andSackman, J. L., “Finite Element Formulation and Solution of Contact-Impact Problems in Continuum Mechanics,”Report No. UC SESM 74-8, Univ. of California, Berkeley (May, 1974).

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Authors and Affiliations

  1. University of California at Berkeley, 94720, Berkeley, CA

    W. Goldsmith (Professors of Applied Mechanics) & R. L. Taylor (Civil Engineering)

Authors
  1. W. Goldsmith
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  2. R. L. Taylor
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Goldsmith, W., Taylor, R.L. Impact on ophthalmic lenses. Experimental Mechanics 16, 81–87 (1976). https://doi.org/10.1007/BF02324890

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  • DOI: https://doi.org/10.1007/BF02324890

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