Variation Formulations of Inverse Problems in Forecasting the Residual Life of Composites

Abstract

An approach is proposed on the basis of more precise formulations of the forecasting problem and developed within the framework of variation principles for the solution of inverse problems, into which precise estimation of forecast solutions is incorporated for the first time, thus providing the possibility to obtain new scientifically substantiated results and achieve a required precision of forecasting. An original model is constructed to forecast the residual life and longevity of composites and describe the processes occurring in polymer composite materials and structures under the simultaneous influence of several destabilizing physical factors at the physical level. The application of a newly formulated principle of multiplicity for forecasting models and the first constructed multiparametric models of optimal complexity within the refined variation formulation of inverse forecasting problems of the residual life has appreciably improved the precision of solution for inverse forecasting problems and enhanced the time interval within which the time dependence of the residual life and longevity of composites can be predicted at a specified maximum permissible precision of forecasting. The proposed approach can be used to solve a broad range of problems of forecasting the residual life, longevity, and strength of composites.