Further study on the dynamic loading transmission in cellular solids based on one-dimensional mass-spring model

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.