Thermal and mechanical analysis of material response to non-steady ramp and steady shock wave loading

A simple mechanical analysis of the isentropic compression experiment

“…When m = 1, the behaviour is elasticlinearly viscoplastic, which is tantamount for σ e = 0, to the Maxwell viscoelastic model. It is interesting to note that recent works have dealt with quite different constitutive equations [3,4]. In these approaches, the deviatoric stresses are first considered as negligible.…”

Numerical study of rate-dependent strength behavior under ramp and shock wave loading

“…More Details can be found in the work by Ding (2006 is the viscous stress as described earlier. In this study, the viscous stress is assumed to consist of the bulk or mean stress (Q) only and the deviatoric part of the viscous stress is part of the viscoplastic constitutive model as will be discussed later.…”

“…It should also be noted that due to the finite risetime of the ramp wave, the role played by heat conduction during ramp wave loading is essentially negligible (Ding, 2006).…”

“…This work is part of a series of theoretical studies (Ding, 2006;Ding and Asay, 2007) on ramp wave analysis. In the study by Ding (2006), a general framework for the thermomechanical material behavior under ramp and shock wave loadings was established.…”

“…In the study by Ding (2006), a general framework for the thermomechanical material behavior under ramp and shock wave loadings was established. In the work by Ding and Asay (2007), a practical methodology was developed to design experiments and analyze experimental data to extract constitutive information for bulk viscous material which possesses no strength.…”