3-DIMENSIONAL PROBLEM OF TRANSIENT CONTACT DYNAMICS

An analytic solution to three-dimensional problem of transient contact dynamics' is developed, and a generalized Galin's theorem is proved. Based on the theorem, contact displacements on be determined analytica lly when the given contact stresses are some quite general functions; in contrast to this, one can readily evaluate the corresponding contac t stresses in analytic version when some quite general displacements a re prescribed. The quite general form mentioned above means the prescr ibed quantities are any polynomials of x and y and any transient funct ion of time. Numerical results for the contact displacements-time vari ation dearly demonstrate the effect of inertia induced by the dynamic stress.