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The importance of the deformation and physics based deformation methods are continuously increasing in computer graphics area. However, the user interaction and reality using them is still insufficient for the various applications such as modeling process and game industry. In this paper, we propose physics based deformation technology under AR (augmented reality) environments to improve the effectiveness of the model manipulation. In the proposed method, free form deformation and lattice shape matching method are combined first for the stable and fast deformation of the polygonal model. Then dynamics of the lattice shape matching region is applied for the physics based deformation. Finally those algorithms are implemented under AR environment. For the various physics based simulations, the adjustment of the material properties such as elasticity and damping ratio are also enable.