Further study on the dynamic loading transmission in cellular solids based on one-dimensional mass-spring model. (January 2023)

• Record Type: Journal Article
• Authors: Xi, C.Q.; Dai, Z.J.; Li, Q.M.
• Is Part Of: International journal of impact engineering. Volume 171(2023)
• Publication Date: 2023-01
• Subjects: Cellular solids -- Deformation-contact process -- 1D deformation-contact mass-spring model; Impact -- Periodicals; Shock (Mechanics) -- Periodicals; Impact -- Périodiques; Choc (Mécanique) -- Périodiques; Impact; Shock (Mechanics); Periodicals; 620.1125
• DOI: 10.1016/j.ijimpeng.2022.104389
• Languages: English
• ISSNs: 0734-743X

Abstract

Highlights: A one-dimensional (1D) deformation-contact mass-spring model is established to study the characteristics of dynamic loading transmission in cellular solids. Both quasi-static and dynamic compression of cellular solids are covered combined with the critical impact velocity and shock-wave model. Deformation-contact process and the validity of the model is demonstrated. Several outstanding issues about the mass-spring model are clarified. Abstract: The characteristics of dynamic loading transmission in cellular solids are studied in the present paper using a one-dimensional (1D) deformation-contact mass-spring model. From the perspective of deformation process, the collisions among adjacent cell walls happen due to the shock-induced localized large deformation and the cellular structure of the material. Two springs representing deformation stress and contact stress, respectively, are introduced to the mass-spring model to represent different deformation and loading transmission mechanisms. Combined with shock-wave model, the contact stress in the densification stage is determined. Both quasi-static and dynamic compression of cellular solids can be described by the 1D mass-spring model, in which the critical impact velocity of the compaction shock is used to distinguish two different compression states. Based on the 1D deformation-contact mass-spring model, several important issues in the dynamic loading transmission in cellular solids, i.e. the deformation-contact process, unloading and reversed loading issue, deformation modes under different loading conditions, stress effectiveness and micro-inertia effect, are examined. The present paper clarifies previous concerns on the mass-spring model and demonstrates its enhanced capability to simulate the dynamic loading transmission in cellular solids.