The invention belongs to the technical field of weak compressible
large deformation of
soft materials, provides a dynamic analysis explicit substance
point method for
large deformation of weak compressible materials, and provides a brand new numerical calculation method for
large deformation research of the weak compressible materials. According to the method, a weak-form
control equation is discretized in a total Lagrangian substance
point method framework, and challenges caused by grid
distortion when a traditional method is used for solving a large
deformation problem are avoided. Besides, the invention provides a volume self-locking
processing technology based on an F-bar method, the problem of volume locking of the weakly compressible substance in numerical
simulation can be simply, conveniently and effectively solved, and the volume self-locking
processing technology can be conveniently embedded into an existing substance
point method program. Meanwhile, a construction method of a smooth kernel interpolation function is developed, and the problem that the solving precision of a traditional substance point method in a
boundary region is reduced can be effectively solved. According to the method, the problem of large deformation of the weak
compressible material can be solved in a stable and efficient manner, and a new technical path is provided for research and application in related fields.