Thermoelastic stability of first strain gradient solids

The problem of thermoelastic stability of a first strain gradient solid under noncons rvative loadings is studied. The Liapunov-Movchan method of elastic stability analysis is reviewed. An energy Liapunov functional is constructed and the sufficiency criteria for the stability of a loaded equilibrium configuration are derived. The effects of motion dependent surface tractions and couples are discussed. The special case of isothermal elastic stability of solids with couple stress is also considered.