Modelling cyclic plasticity of metals is of utmost importance in the analyses of structures subject to cyclic loading such as the ones subject to seismic and wind loading. Classical theory of plasticity is generally employed to capture the cyclic plastic response of metals. The classical framework hinges on the assumptions such as yield surface, flow rule, hardening rule, and the decomposition of strain, each of which has some shortcomings. Moreover, the thermodynamic consistency of such a framework is arduous to establish and, in some models, even disregarded. Thermodynamic nonconformity of any constitutive model usually results in a response that is physically inappropriate. In addition, the classical framework inherently resorts to the internal variables formalism to capture the plastic response. Though the internal variables approach offers a flexible framework to model dissipative responses, the uncertainty connected with the definite meaning of them poses a substantial difficulty. In the finite deformation ranges the complexities are more pronounced with the classical approach. On the other hand, models based on thermodynamically consistent frameworks and devoid of internal variables are promising and emerging. The constitutive assumptions made can be reduced in this framework in comparison with the classical one. Thus, a constitutive model is proposed which does not appeal to internal variables and is thermodynamically consistent to capture the cyclic plastic response of metals.