Abstract
The paper presents the development of recently proposed kinetic model of dynamic mechanical behavior of brittle solids. The model uses the ideas of kinetic theory of strength to describe the inelastic deformation and fracture. The main feature of the modified dynamic model is the introduction of two relaxation times, which determine the patterns of inelastic deformation under dynamic loading, including the dependences of the values of the cohesion and strain hardening coefficient on the strain rate. These relaxation times have the meaning of a generation time of damage of the smallest ranks and a characteristic time of formation of a system of local damage and cracks of the greatest rank. The advantage of a developed dynamic model is the possibility of its implementation within different conventional models of inelasticity of brittle solids. In the paper we implemented the kinetic model within the classical "quasi-static" Nikolaevsky's plasticity model (non-associated plastic flow rule with the plasticity criterion in the form of Mises-Schleicher). We verified the model and determined its parameters by the example of high-strength concrete. The developed dynamic model can be implemented within the framework of various Lagrangian numerical methods (including finite and discrete element methods) using an explicit integration scheme.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures |
| Editors | Vasily M. Fomin, Victor E. Panin, Sergey G. Psakhie |
| Publisher | American Institute of Physics Inc. |
| Volume | 2051 |
| ISBN (Electronic) | 9780735417779 |
| DOIs | |
| Publication status | Published - 12 Dec 2018 |
| Event | International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018 - Tomsk, Russian Federation Duration: 1 Oct 2018 → 5 Oct 2018 |
Conference
| Conference | International Symposium on Hierarchical Materials: Development and Applications for New Technologies and Reliable Structures 2018 |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 1.10.18 → 5.10.18 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
The model of dynamic inelastic behavior of brittle solids based on the concept of finite fracture time. / Grigoriev, Aleksandr S.; Shilko, Evgeny V.; Skripnyak, Vladimir A.; Psakhie, Sergey G.
Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures. ed. / Vasily M. Fomin; Victor E. Panin; Sergey G. Psakhie. Vol. 2051 American Institute of Physics Inc., 2018. 020102.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - The model of dynamic inelastic behavior of brittle solids based on the concept of finite fracture time
AU - Grigoriev, Aleksandr S.
AU - Shilko, Evgeny V.
AU - Skripnyak, Vladimir A.
AU - Psakhie, Sergey G.
PY - 2018/12/12
Y1 - 2018/12/12
N2 - The paper presents the development of recently proposed kinetic model of dynamic mechanical behavior of brittle solids. The model uses the ideas of kinetic theory of strength to describe the inelastic deformation and fracture. The main feature of the modified dynamic model is the introduction of two relaxation times, which determine the patterns of inelastic deformation under dynamic loading, including the dependences of the values of the cohesion and strain hardening coefficient on the strain rate. These relaxation times have the meaning of a generation time of damage of the smallest ranks and a characteristic time of formation of a system of local damage and cracks of the greatest rank. The advantage of a developed dynamic model is the possibility of its implementation within different conventional models of inelasticity of brittle solids. In the paper we implemented the kinetic model within the classical "quasi-static" Nikolaevsky's plasticity model (non-associated plastic flow rule with the plasticity criterion in the form of Mises-Schleicher). We verified the model and determined its parameters by the example of high-strength concrete. The developed dynamic model can be implemented within the framework of various Lagrangian numerical methods (including finite and discrete element methods) using an explicit integration scheme.
AB - The paper presents the development of recently proposed kinetic model of dynamic mechanical behavior of brittle solids. The model uses the ideas of kinetic theory of strength to describe the inelastic deformation and fracture. The main feature of the modified dynamic model is the introduction of two relaxation times, which determine the patterns of inelastic deformation under dynamic loading, including the dependences of the values of the cohesion and strain hardening coefficient on the strain rate. These relaxation times have the meaning of a generation time of damage of the smallest ranks and a characteristic time of formation of a system of local damage and cracks of the greatest rank. The advantage of a developed dynamic model is the possibility of its implementation within different conventional models of inelasticity of brittle solids. In the paper we implemented the kinetic model within the classical "quasi-static" Nikolaevsky's plasticity model (non-associated plastic flow rule with the plasticity criterion in the form of Mises-Schleicher). We verified the model and determined its parameters by the example of high-strength concrete. The developed dynamic model can be implemented within the framework of various Lagrangian numerical methods (including finite and discrete element methods) using an explicit integration scheme.
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U2 - 10.1063/1.5083345
DO - 10.1063/1.5083345
M3 - Conference contribution
VL - 2051
BT - Proceedings of the Advanced Materials with Hierarchical Structure for New Technologies and Reliable Structures
A2 - Fomin, Vasily M.
A2 - Panin, Victor E.
A2 - Psakhie, Sergey G.
PB - American Institute of Physics Inc.
ER -