Elastic-Plastic, Work-Hardening Arches

A set of integral equations is developed for the stress rates that correspond to a given rate of loading from a given elastoplastic state in an elastic-plastic, work-hardening sandwich arch. Methods of solving these integral equations are considered. It is found that the integral-equation approach permits solutions which are as accurate as desired even when the loading program involves extensive partial unloadings. Thus the results of this paper may prove useful for checking various existing numerical techniques.