Stress measurements using piezoresistance gauges: Modeling the gauge as an elastic-plastic inclusion

Abstract

A theoretical framework is provided to analyze and interpret piezoresistance gauge measurements. The analytic developments consist of a phenomenological electromechanical model for piezoresistance and an elastic-plastic inclusion analysis. The combination of these analytic developments can, in principle, explain the main aspects of the gauge response under shock loading. The present work may provide the basis for a complete specification of the stresses in shock wave uniaxial strain experiments and extension of piezoresistance measurements to other loading conditions. Further experiments are required to determine the material constants needed for the model and to permit detailed comparisons with the analytic results.