A novel algorithm is proposed for local anisotropic contraction deformation on thin shell using the framework of position-based dynamics. Firstly, a new elastic deformation energy of thin shell is presented to address the material limitation of position-based dynamics, and get desired elastic contraction deformation on a variety of materials. Secondly, a stable contraction deformation is abstained without jittering by giving a proper coefficient of bending energy. Thirdly, a local anisotropic ARAP deformation energy is defined to produce a rapid and stable invagination on the area of the local spherical structures where the deformation is slow and slight. Finally, the axis-aligned bounding box and the non-penetration filters are used as a preprocess stage in order to cull the primitive pairs that are impossible to collide, to accelerate the speed of collision detection. The experimental results demonstrate that, the proposed method supports many different types of materials and local anisotropic energies, and can work with the problems of jittering and the slight deformation on local spherical structures.