Study of generalized Prandtl rheological model for constitutive description of elastoplastic properties of materials

• Autorzy: Grzesikiewicz W. , Zbiciak A.
• Języki publikacji: EN

Abstrakty

EN

Purpose: of this paper is to demonstrate the process of constitutive modelling of elastoplastic properties of materials using generalized Prandtl rheological model. A special attention is put on description of composites. Design/methodology/approach: Based on the proposed rheological model, the set of constitutive relationships is formulated. Identification of parameters of rheological model is carried out based on experimental hysteretic loops. The constitutive equations are used in the paper for computer simulation of experimental tests. Findings: It is proved in the paper that the obtained constitutive relationships can describe the phenomenon of plastic anisotropy. An illustrating example is demonstrated for fiber glass-reinforced polymer-matrix composite. The comparison between experimental results and computer simulations shows the validity of the model. Research limitations/implications: The computer simulations concentrate on one-dimensional problem. It is suggested for future investigations to implement three-dimensional constitutive model. Such an implementation may be conducted within FEM codes ABAQUS or ANSYS. Practical implications: Using the method of constitutive modelling of elastoplastic properties of materials it is possible to carry out computer simulations solving non-linear differential equations for any type of loadings both static and dynamic. Originality/value: The original value of the paper is the proposed procedure of identification of material model exhibiting plastic anisotropy based on generalized Prandtl rheological scheme. As the result, the system of constitutive relationships has explicit differential form, easy for numerical implementations.

Słowa kluczowe

EN

generalized Prandtl model; constitutive relationships; elastoplasticity; plastic anisotropy; rheological schemes; hysteresis; composites

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2012
• Tom: Vol. 55, nr 2
• Strony: 504--510
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Grzesikiewicz W.

• Institute of Vehicles, Warsaw University of Technology, ul. Narbutta 84, 02-524 Warszawa, Poland

autor

Zbiciak A.

• Institute of Roads and Bridges, Warsaw University of Technology, Al. Armii Ludowej 16, 00-637 Warszawa, Poland

Bibliografia

• [1] A. Baier, M. Majzner, Analysis of composite structural elements, Journal of Achievements in Materials and Manufacturing Engineering 43/2 (2010) 577-585.
• [2] K. Jamroziak, M. Bocian, Identification of composite materials at high speed deformation with the use of degenerated model, Journal of Achievements in Materials and Manufacturing Engineering 28/2 (2008) 171-174.
• [3] B. Smoljan, N. Tomasi, S. Smokvina, Composites in manufacturing of vehicles, Proceedings of the 11th InternationalScientific Conference on “Achievements in Mechanical and Materials Engineering” AMME'2002, Gliwice-Zakopane, 2002, 511-514.
• [4] A.S. Khan, S. Huang, Continuum theory of plasticity, John Wiley & Sons, 1995.
• [5] W. Grzesikiewicz, A. Wakulicz, A. Zbiciak, Mathematical modelling of pseudoelastic SMA material, International Journal of Non-Linear Mechanics 46/6 (2011) 870-876.
• [6] A. Zbiciak, Dynamic analysis of pseudoelastic SMA beam, International Journal of Mechanical Sciences 52/1 (2010) 56-64.
• [7] A. Zbiciak, Numerical analysis of dynamic behaviour of elastoplastic beams, Archives of Civil Engineering 55/3 (2009) 403-420.
• [8] A. Zbiciak, Dynamics of materials and structures with non-classical elastic-dissipative characteristics, Publishing House of the Warsaw University of Technology, Warsaw, 2010 (in Polish).
• [9] P.D. Panagiotopoulos, Inequality problems in mechanics and applications. convex and nonconvex energy functions, Birkhäuser, Basel, 1985.
• [10] R. Temam, Mathematical problems in plasticity, BORDAS, Paris 1985.
• [11] W. Grzesikiewicz, A. Wakulicz, A. Zbiciak, Succession of constraint imposed on time function, Scientific Papers of the Faculty of Mechanical Engineering in Koszalin University of Technology 7/40 (2009) 49-57.
• [12] A. Boczkowska, J. Kapuściński, Z. Lindermann, D. Witemberg-Perzyk, S. Wojciechowski, Composites, Publishing House of the Warsaw University of Technology, Warsaw, 2003 (in Polish).
• [13] W. Grzesikiewicz, A. Wakulicz, A. Zbiciak, Determination of energetic hysteretic loop using rheological model, Logistics 6 (2009) 1-8.
• [14] L.A. Dobrzański, A. Pusz, A.J. Nowak, M. Górniak, Application of FEM for solving various issues in material engineering, Journal of Achievements in Materials and Manufacturing Engineering 42 (2010) 134-141.
• [15] A. Gnatowski, P. Palutkiewicz, T. Jaruga, Analysis of strain state during creeping of polymer materials, Archives of Materials Science and Engineering 45/1 (2010) 48-55.