Abstract：Propagation through joint interface of SV wave is a complicated problem，and the stiffness incident angel，nonlinear normal displacement，nonlinear tangential displacement，frequency of incident wave are factors affecting the transmission and reflection coefficient. According to ray theoretical method，the transmission and reflection analytic solution of SV wave propagating through linear deformation joint are attained. Then based on the Lemaitre hypothesis of equivalent effective strain，the Goodman and Duncan models are adopted to study transmission and reflection of wave at joint interface affected by nonlinear normal deformation and nonlinear tangential displacement. The results indicate，if the SV wave is normal incident，only refection SV wave and transmission wave SV are produced；due to the effect of stiffness，the reflection coefficient will decrease and transmission coefficient will increase with the increasing of stiffness；the higher the nonlinear displacement ratio is，the faster the trendy is. The joint interface is like a low filter，the higher frequency will be easily reflected，and the lower frequency will be easily transmitted. If the incident angel of SV wave is under superior limit，the joint stiffness is related with the normal and tangential nonlinear displacements，but the influencing degree of the normal and tangential displacement is much different to every wave field，it is the nonlinear displacement that determines the effective stiffness of joint interface，and eventually determines the transmission and the reflection characterises.
