Modeling the shock response of silicon carbide, boron carbide and titanium diboride

• Published in: International journal of impact engineering Vol. 18; no. 6; pp. 611 - 631
• Main Authors: Rajendran, A.M., Grove, D.J.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01-09-1996; Elsevier Science
• Subjects: Applied sciences; Building materials. Ceramics. Glasses; ceramic; Ceramic industries; Chemical industry and chemicals; Exact sciences and technology; fracture; high strain rate; hydrocode; Miscellaneous; modeling; shock; silicon carbide; Technical ceramics; titanium diboride; ceramic; hydrocode; titanium diboride; modeling; shock; high strain rate; silicon carbide; fracture; Deformation; Shield; Mechanical properties; Modeling; Non oxide ceramics; Projectile; Crack propagation; Fracture toughness; Silicon Carbides; Mechanical degradation; Boron Carbides; Titanium Borides; Mechanical shock
• ISSN: 0734-743X; 1879-3509
• DOI: 10.1016/0734-743X(96)89122-6

An advanced constitutive model is used to describe the shock and high strain rate behaviors of silicon carbide, boron carbide, and titanium diboride under impact loading conditions. The model's governing equations utilize a set of microphysically based constitutive relationships to describe the deformation and damage processes of ceramics. The total strain is decomposed into elastic, plastic, and microcracking components. The plastic strain components are calculated using conventional viscoplastic equations. The strain components due to microcracking utilize relationships derived from a penny shaped crack in an infinite elastic solid. The main features of the model include degradation of strength and stiffness under both compressive and tensile loading conditions. When loaded above the Hugoniot elastic limit (HEL), the strength is limited by the strain rate dependent strength equation. However, below the HEL, the strength variation with respect to strain rate and pressure is modeled through microcracking relationships, assuming no plastic flow. The ceramic model parameters were determined using plate impact experimental data.