Abstract:Analytical solution of complete stress-strain curve of rock specimen in uniaxial tension is proposed based on gradient-dependent plasticity considering strain localization initiated at peak strength. Differential of total strain along specimen length is composed of recoverable elastic part and unrecoverable plastic part. Differential of elastic strain is a function of differential axial stress and elastic modulus according to Hooke¢s law. However,differential plastic strain on a gauge length depends on specimen length,softening modulus,differential axial stress,and thickness of tensile localized band. The thickness is determined by gradient-dependent plasticity where a characteristic length is included in yield function. According to the assumption that differential total strain on a gauge length is the sum of differential elastic and plastic strains,analytical solution of complete stress-strain curve is derived. Compared with numerical results presented by De Borst and Muhlhaus,the analytical solution of distributed plastic strain in localization band and effect of internal length on complete stress-strain curve are verified,respectively. Finally,influences of constitutive parameters,such as elastic and softening moduli,and specimen length on complete stress-strain curve are investigated.