Study on Material Point Method with Different
Influence Factors of Temperature
Jingjing Zhang 1(B) , Jinglin Luo 2 , and Mian Jiang 1
1 The School of Mechatronics Engineering, Foshan University, #33 Guang-yun-lu, Shishan,
Nanhai, Foshan, Guangdong, People’s Republic of China
jingjing@fosu.edu.cn
2 School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou,
Guangdong, China
Abstract. An improved material point method (MPM) algorithm is proposed
in this paper with considering shock temperature and melting point of the analyzed material with a high pressure. This algorithm is especially well suited for
high-speed impacts cases which accompany with great deformations and high
temperature environment. A Taylor impact test has been taken as an example to
analyze the influence of the material softening caused by high temperature and
the importance of shock temperature and melting point affected by high pressure
in a high-speed impact simulation by MPM. Compared to the result simulated by
classic MPM, the accuracy of the result simulated by the improved MPM which
considers shock temperature and melting point affected by high pressure has been
improved.
Keywords: Material point method · Plastic deformation · Shock temperature ·
Melting point
1 Introduction
In recent years, a large number of alternatives to standard finite element (FE) methods
have been proposed for the solution of engineering problems in solid mechanics, particularly those involving very large deformations, which is a challenge to any Lagrangian
mesh-based method due to mesh distortion and the computational expense of re-meshing
during a simulation. Mesh-less methods, such as the element-free Galerkin method [1]
and others remain computationally uncompetitive, while other options that are suggested have other disadvantages, e.g. the re-meshing and interpolation technique with
small strain [2], which is itself still mesh-based, the discrete element method [3] (computationally expensive for real-world geometries), or smoothed particle hydrodynamics,
[4] which has difficulties with solid material modeling.
An exciting alternative to the options discussed above is the material point method
(MPM) which is first described in 1994 by Sulsky [5, 6]. In MPM, discretization occurs
via mesh-less material points within the problem domain, which are enclosed in a separate mesh of conventional FE methods. Information, such as the density and others,
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
S. N. Atluri and I. Vušanovi´ c (Eds.): ICCES 2020, MMS 97, pp. 72–83, 2021.
https://doi.org/10.1007/978-3-030-64690-5_8
Influence Factors of Temperature
Jingjing Zhang 1(B) , Jinglin Luo 2 , and Mian Jiang 1
1 The School of Mechatronics Engineering, Foshan University, #33 Guang-yun-lu, Shishan,
Nanhai, Foshan, Guangdong, People’s Republic of China
jingjing@fosu.edu.cn
2 School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou,
Guangdong, China
Abstract. An improved material point method (MPM) algorithm is proposed
in this paper with considering shock temperature and melting point of the analyzed material with a high pressure. This algorithm is especially well suited for
high-speed impacts cases which accompany with great deformations and high
temperature environment. A Taylor impact test has been taken as an example to
analyze the influence of the material softening caused by high temperature and
the importance of shock temperature and melting point affected by high pressure
in a high-speed impact simulation by MPM. Compared to the result simulated by
classic MPM, the accuracy of the result simulated by the improved MPM which
considers shock temperature and melting point affected by high pressure has been
improved.
Keywords: Material point method · Plastic deformation · Shock temperature ·
Melting point
1 Introduction
In recent years, a large number of alternatives to standard finite element (FE) methods
have been proposed for the solution of engineering problems in solid mechanics, particularly those involving very large deformations, which is a challenge to any Lagrangian
mesh-based method due to mesh distortion and the computational expense of re-meshing
during a simulation. Mesh-less methods, such as the element-free Galerkin method [1]
and others remain computationally uncompetitive, while other options that are suggested have other disadvantages, e.g. the re-meshing and interpolation technique with
small strain [2], which is itself still mesh-based, the discrete element method [3] (computationally expensive for real-world geometries), or smoothed particle hydrodynamics,
[4] which has difficulties with solid material modeling.
An exciting alternative to the options discussed above is the material point method
(MPM) which is first described in 1994 by Sulsky [5, 6]. In MPM, discretization occurs
via mesh-less material points within the problem domain, which are enclosed in a separate mesh of conventional FE methods. Information, such as the density and others,
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
S. N. Atluri and I. Vušanovi´ c (Eds.): ICCES 2020, MMS 97, pp. 72–83, 2021.
https://doi.org/10.1007/978-3-030-64690-5_8