A new plasticity and failure model for ballistic application |
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Authors: | Sidney Chocron Borja Erice Charles E. Anderson |
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Affiliation: | 1. Southwest Research Institute, Engineering Dynamics, 6220 Culebra Rd., San Antonio, TX 78238, USA;2. Department of Materials Science, Polytechnic University of Madrid (UPM), Calle del Profesor Aranguren s/n, 28040 Madrid, Spain;3. Research Centre on Safety and Durability of Structures and Materials (CISDEM), UPM – CSIC, Calle del Profesor Aranguren s/n, 28040 Madrid, Spain;1. Politecnico di Milano, Dipartimento di Meccanica, Via la Masa 1, 20156 Milano, Italy;2. Impact & Crashworthiness Lab, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139, USA;1. Solid Mechanics Laboratory (CNRS-UMR 7649), Department of Mechanics, École Polytechnique, Palaiseau, France;2. Department of Materials Science, E.T.S.I. de Caminos, Canales y Puertos, Univesidad Politécnica de Madrid, UPM, Calle del profesor Aranguren s/n, 28040 Madrid, Spain;1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China;2. School of Science, Jiangsu University of Science and Technology, Zhenjiang 212003, China;3. Wuchang Shipbuilding Industry Group Co., Ltd, Wuhan 430000, China |
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Abstract: | Ballistic phenomena give rise to a plethora of failure modes that compete. Johnson–Cook (JC) plasticity and failure models have been extremely successful because, while being conceptually simple, they capture the essence of the operative mechanics and they provide reasonably good predictions for ballistic limits. Nevertheless, the Johnson–Cook models, due to their isotropic flow and failure surface, cannot reproduce certain failure modes commonly seen in quasistatic tests: cup and cone failure, slanted failure in tensile specimens, and slanted failure in compression specimens. This work shows that by introducing the third invariant (or Lode angle) in both the JC plasticity and damage models, cup and cone, and slanted failure modes arise naturally. After the model is presented it is exercised with a material taken from the literature to predict successfully Taylor anvil and ballistic penetration failure patterns. |
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