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Summary:
The effect of a random strain history on the stress distribution in a viscoelastic material is studied with the help of stochastic point processes. The first two moments of the stress have been obtained. An explicit expression for the characteristic functional is obtained in the case of a Poisson model.
References:
[1] A. K Tobolsky: Properties and Structure of Polymers. John Wiley and Sons, Inc. (1960).
[2] Z. Sobotka, J. Murzewski: A general Method for Computing the Distribution of a Function of Random Variables with Application to the yield condition. Arch. Mech. Stos. 14, 19 (1962). Zbl 0137.19603
[3] S. K. Srinivasan: Stochastic point processes- a phenomenological approach. Jour. of Math. and Physic. Sciences 1, 1 (1967). MR 0222947 | Zbl 0275.60070
[4] A. Ramakrishnan: Stochastic processes relating to particles distributed in a continuous infinity of states. Proc. Camb. Phil. Soc. 46, 569 (1950). DOI 10.1017/S0305004100026153 | MR 0050217 | Zbl 0039.13703
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