Taylor bar impact simulated by our Adaptive Finite Element Material Point Method. The bar is initially discretized by a set of finite elements. During the simulation, the distorted/failed elements are automatically converted into MPM particles. See: YP Lian, X Zhang, Y Liu. An adaptive finite element material point method and its application in extreme deformation problems. Computer Methods in Applied Mechanics and Engineering 241–244 (1): 275–285, 2012.

Penetration simulation by the Adaptive Finite Element Material Point Method. All bodies are initially discretized by a set of finite elements. During the simulation, the distorted/failed elements are automatically converted into MPM particles. See: YP Lian, X Zhang, Y Liu. An adaptive finite element material point method and its application in extreme deformation problems. Computer Methods in Applied Mechanics and Engineering 241–244 (1): 275–285, 2012.

Bird strike on an empennage simulated by our Coupled shell-material point method. The bird is modeled by the MPM, while the empennage is modeled by the shell/beam elements. The MPM body and FEM body are coupled using a contact algorithm. Please refer to B Wu, ZP Chen, X Zhang, Y Liu, YP Lian. Coupled Shell-Material Point Method for Bird Strike Simulation. ** Acta Mechanica Solida Sinica**. 31(1):1-18, 2018.

Penetration simulation by our coupled finite element material point method. The projectile is modeled by the FEM, while the target is modeled by the MPM. Please refer to 1). YP Lian, X Zhang, Y Liu. Coupling of finite element method with material point method by local multi-mesh contact method. ** Computer Methods in Applied Mechanics and Engineering** 200: 3482–3494, 2011; 2). ZP Chen, XM Qiu, X Zhang, YP Lian. Improved coupling of finite element method with material point method based on a particle-to-surface contact algorithm.

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*Computer Methods in Applied Mechanics and Engineering*Bird impact on a rigid plate simulated by the Coupled shell-material point method. The bird is modeled by the MPM, while the rigid plate is modeled by the shell elements. The MPM body and FEM body are coupled using a contact algorithm. Please refer to B Wu, ZP Chen, X Zhang, Y Liu, YP Lian. Coupled Shell-Material Point Method for Bird Strike Simulation. ** Acta Mechanica Solida Sinica**. 31(1):1-18, 2018.

Bird impact on an aluminum plate, simulated by the Coupled shell-material point method. The bird is modeled by the MPM, while the plate is modeled by the shell elements. The MPM body and FEM body are coupled using a contact algorithm. Please refer to B Wu, ZP Chen, X Zhang, Y Liu, YP Lian. Coupled Shell-Material Point Method for Bird Strike Simulation. ** Acta Mechanica Solida Sinica**. 31(1):1-18, 2018.

Hyper velocity impact: a sphere projectile of 0.5g impacts on a thick target at a velocity of 6.0km/s.

Hyper velocity impact: a sphere Al2017 projectile with diameter of 6.35 mm impacts on a sandwich Whipple shield structure at velocities of 2220 m/s, 3190 m/s and 4170 m/s, respectively. Refer to: WW Gong, Y Liu, X Zhang, HL Ma. Numerical Investigation on Dynamical Response of Aluminum Foam Subject to Hypervelocity Impact With Material Point Method. ** CMES: Computer Modeling in Engineering & Sciences** 83(5): 527-545, 2012

Taylor bar impact at a velocity of 190m/s simulated using the conventional MPM. Refer to: S Ma, X Zhang XM Qiu. Comparison study of MPM and SPH in modeling hypervelocity impact problems. * International Journal of Impact Engineering*, 36: 272-282, 2009.

A steel projectile penetrates an aluminum target at initial velocity of 575m/s, which is simulated by the conventional MPM with our improved contact algorithm. Refer to: P Huang, X Zhang, S Ma, XC Huang. Contact Algorithms for the Material Point Method in Impact and Penetration Simulation. * International Journal for Numerical Method in Engineering* 85(4): 498-517, 2011.

Penetration simulation by the Adaptive Finite Element Material Point Method. All bodies are initially discretized by a set of finite elements. During the simulation, the distorted/failed elements are automatically converted into MPM particles. See: YP Lian, X Zhang, Y Liu. An adaptive finite element material point method and its application in extreme deformation problems. Computer Methods in Applied Mechanics and Engineering 241–244 (1): 275–285, 2012.

Penetration simulation by the Adaptive Finite Element Material Point Method. All bodies are initially discretized by a set of finite elements. During the simulation, the distorted/failed elements are automatically converted into MPM particles. See: YP Lian, X Zhang, Y Liu. An adaptive finite element material point method and its application in extreme deformation problems. Computer Methods in Applied Mechanics and Engineering 241–244 (1): 275–285, 2012.

A projectile penetrates a reinforce concrete target at velocity of 746m/s, which is simulated by using our Hybrid Finite Element Material Point Method. Refer to: YP Lian, X Zhang, X Zhou, ZT Ma. A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. ** Computer Methods in Applied Mechanics and Engineering**, 200(17-20): 1659-1670, 2011.

A projectile penetrates a reinforce concrete target at velocity of 746m/s, which is simulated by using our Hybrid Finite Element Material Point Method. Refer to: YP Lian, X Zhang, X Zhou, ZT Ma. A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. ** Computer Methods in Applied Mechanics and Engineering**, 200(17-20): 1659-1670, 2011.

A projectile penetrates a reinforce concrete target at velocity of 257.5m/s with incident angle of 1º, which is simulated by using our Hybrid Finite Element Material Point Method. Refer to: YP Lian, X Zhang, X Zhou, ZT Ma. A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. ** Computer Methods in Applied Mechanics and Engineering**, 200(17-20): 1659-1670, 2011.

A projectile penetrates a reinforce concrete target at velocity of 248.3m/s with incident angle of 24.5º, which is simulated by using our Hybrid Finite Element Material Point Method. Refer to: YP Lian, X Zhang, X Zhou, ZT Ma. A FEMP method and its application in modeling dynamic response of reinforced concrete subjected to impact loading. ** Computer Methods in Applied Mechanics and Engineering**, 200(17-20): 1659-1670, 2011.

A half spherical shell with diameter of 0.408m and mass of 12kg impacts on earth at different velocity.

Bird strike on a leading edge simulated by our Coupled shell-material point method. The bird is modeled by the MPM, while the empennage is modeled by the shell/beam elements. The MPM body and FEM body are coupled using a contact algorithm. Please refer to B Wu, ZP Chen, X Zhang, Y Liu, YP Lian. Coupled Shell-Material Point Method for Bird Strike Simulation. ** Acta Mechanica Solida Sinica**. 31(1):1-18, 2018.

Bird strike on an empennage simulated by our Coupled shell-material point method. The bird is modeled by the MPM, while the empennage is modeled by the shell/beam elements. The MPM body and FEM body are coupled using a contact algorithm. Please refer to B Wu, ZP Chen, X Zhang, Y Liu, YP Lian. Coupled Shell-Material Point Method for Bird Strike Simulation. ** Acta Mechanica Solida Sinica**. 31(1):1-18, 2018.