An analytical expression for the Hugoniot stress–strain curve of elastic-plastic cellular materials. (May 2018)

• Record Type: Journal Article
• Authors: Jacques, N.; Barthélémy, R.
• Is Part Of: International journal of impact engineering. Volume 115(2018)
• Page Start: 76
• Page End: 80
• Publication Date: 2018-05
• Subjects: Cellular materials -- Foams -- Shock waves -- Hugoniot -- Micro-inertia -- Dynamic material behaviour; Impact -- Periodicals; Shock (Mechanics) -- Periodicals; Impact -- Périodiques; Choc (Mécanique) -- Périodiques; Impact; Shock (Mechanics); Periodicals; 620.1125
• DOI: 10.1016/j.ijimpeng.2018.01.011
• Languages: English
• ISSNs: 0734-743X

Abstract

Highlights: An analytical expression for the Hugoniot stress–strain curve of foams and cellular materials is developed. Theoretical predictions are compared to experimental data. The Hugoniot curve of an elastic-plastic cellular solid can be predicted from its quasi-static compressive response. Abstract: This note deals with the shock behaviour of foams and cellular solids. An analytical expression of the Hugoniot stress–strain curve has been developed using micromechanical and energetic arguments. In the case of elastic-plastic cellular materials, the application of the proposed formula is straightforward and the shock behaviour can be predicted from the quasi-static compressive response. Comparison of theoretical predictions with experimental results for open-cell aluminium foams shows an excellent agreement. Graphic abstract: