AVALIAÇÃO NUMÉRICA DE FATORES DE INTENSIDADE DE TENSÃO EM PROBLEMAS DE UMA TRINCAS
DOI:
https://doi.org/10.26512/ripe.v2i7.21708Palavras-chave:
Stress Intensity Factors. Integral-J. ABAQUS CAE.Resumo
The Fracture Mechanics has become an important analytical tool in the design and subsequent operation in structures that may develop cracks during their service life. In this regard, and based on the principle of linear elastic fracture mechanics (LEFM) and the knowledge of their stress intensity factors (FITs), this paper proposes numerically evaluate these factors from the use of two analysis programs: the well-established ABAQUS CAE package for analysis with finite element method (FEA) and an academic program called emCracker2D still under testing, using a formulation based on the dual boundary element method (DBEM) and the J-integral technique for calculating the FITs. The latter is based on object-oriented programming and written in C++ language, having an interface with MATLAB for treatment of modeling, meshing and viewing results. This work is limited to the application and use of BemCracker2D program to obtain the stress factors as proposed, and will not be addressed computational aspects related to DBEM formulation or about the program. Examples of open literature for multiple cracks models are presented, aiming to certify the efficiency and accuracy of the DBEM front of the FEM in this type of problem.
Downloads
Referências
Associação Brasileira de Normas Técnicas. NBR 6118 ”“ Projeto de estruturas de concreto - procedimentos. Rio de Janeiro, Brasil, 2014, 238 p.
Aliabadi, M.H., Rooke, D.P., Cartwright, D.J., An Improved Boundary Element Formulation for Calculating Stress Intensity Factors: Application to Aerospace Structures, J. Strain Analysis, 22 (4), 1”“5 (1987).
Blandford, G.E., Ingraffea, A.R., Liggett, J.A., Two-Dimensional Stress Intensity Factor Computations Using the Boundary Element Method, Int. J. for Numerical Methods in Engineering, 17:387”“404, (1981).
Brebbia C.A., The Boundary Element Method for Engineers. Pentech Press, London, (1978).
D. J. Cartwright and D. P. Rooke. Approximate stress intensity factors compounded from known solutions. Engineering Fracture Mechanics, 6 (3), pp.563-571, 1974.
D. P. Rooke and D. J. Cartwright. Compendium of stress intensity factors. Her Majesty's Stationery Office, London, 1976.
Ewalds, H. L. and WanhilL, R.J.H., “Fracture Mechanics, Edward”, 1986.
Gomes, G., 2000. Estrutura de dados para representação de modelos bidimensionais de elementos de contorno. Universidade de Brasília - UnB. Brasília, p. 110.
Gomes, G., 2006. Aplicação dos métodos de elementos de contorno e reciprocidade dual em problemas de plasticidade 2D orientada a objeto. Universidade de Brasília - UnB. Brasília, p. 165.
Goossens, M., Mittelbach, F., & Samarin, A., 1994. The LaTeX Companion. Addison-Wesley.
Harrison, J. D., “Significance of Defects in Relation to Service Perfomance”, International Institute on Welding and Met. Tech. Conf. Sydney, Australia, setembro, 1976.
Harrison, J. D., “The State-of-the-art in Crack Tip Opening Displacement (CTOD) Testing and Analysis”, Welding Institute Report, 108, abril, 1980.
Hertzberg, R., “ Deformation and Fracture Mechanics of Engineering Materials”, 3° ed. Wiley, New York, 1989.
H. M. Westergaard. Bearing pressures and cracks. Journal of Applied Mechanics, pp. A49-A53, June 1939.
Hinton, E., Sienz, J., & Afonso, S. M. B., 1995. Experiences with Olhoff’s ‘exact’ semi-analytical algorithm. In Olhoff, N. & Rozvany, G. I. N., eds, First World Congress of Structural and Multidisciplinary Optimization (WCSMO-1), pp. 41”“46.
Hong H-K, Chen J.T., Derivation of ntegral equations in elasticity. Journal of Engineering Mechanics (ASCE), 114(6):1028”“1044 (1988).
Mattiasson, K., 1980. Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals. International Journal for Numerical Methods in Engineering, vol. 17, n. 1, pp. 145”“153.
Portela A., Aliabadi M.H., Rooke D.P., The dual boundary element method: effective implementation for crack problems, Int. J. for Numerical Methods in Engineering, 33:1269”“87, (1992).
Portela, A., Aliabadi, M.H., Rooke, D.P., Boundary Element Analysis of V-Notched Plates, Proc. of the fourth International Conference on Boundary Element Technology, Windsor, Canada, edited by C. A. Brebbia, Computational Mechanics Publications, Southampton, UK (1989).
Portela, A., Aliabadi, M.H., Rooke, D.P., Boundary Element Analysis of V-Notched Plates, Proc. of the fourth International Conference on Boundary Element Technology, Windsor, Canada, edited by C. A. Brebbia, Computational Mechanics Publications, Southampton, UK (1989).
Portela, A., Aliabadi, M.H., Rooke, D.P., Efficient Boundary Element Analysis of Sharp Notched Plates, Int. J. for Numerical Methods in Engineering, 32: 445”“470, (1991).
Portela A., Aliabadi M.H., Rooke D.P., Dual boundary element analysis of cracked plates: singularity subtraction technique, Int. J. of Fracture, 55:17-28 (1992).
Ramm, E., 1981. Strategies for tracing the nonlinear response near limit points. In Wunderlich, W., Stein, E., & Bathe, K. J., eds, Nonlinear Finite Element Analysis in Structural Mechanics, pp. 63”“89. Springer-Verlag.
Rooke, D. P. e Cartwright, D.J. ,”Stress Intensity Factors, Her Majesty’s Stationery Office”, Londres, 1974.
Santana, Elvis, Análise do crescimento à fadiga, interação e Coalescência de múltiplas trincas com o Método dos elementos de contorno dual. Enc/FT/UnB, dissertação de Mestrado em Estruturas e Construção Civil, 2015.
Sienz, J., 1994. Integrated Structural Modelling, Adaptative Analysis and Shape Optimization. PhD thesis, University of Wales/Swansea.
STROHAECKER, T. R. e BASTIAN, F. L., “Avaliação do Efeito do Hidrogênio Sobre o Comportamento à Fratura de um Aço de Alta Resistência Mecânica”, Anais dos Painéis do Encontro sobre Gases em Metais e Ligas, São Carlos, SP, 1986.
Williams, M.L., Stress Singularities Resulting from Various Boundary Conditions in Angular Corners of Plates in Extension, J. Applied Mechanics, 526”“528, (1952).
M. L. Williams. On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics, 24, pp. 109-114, March, 1957.
Xanthis, L.S., Bernal, M.J.M, Atkinson, C., The Treatment of the Singularities in the Calculation of Stress Intensity Factors Using the Integral Equation Method, Comp. Meth. in Appl. Mech. Engng., 26:285”“304, (1981).
Downloads
Publicado
Como Citar
Edição
Seção
Licença
Autores que publicam nesta revista concordam com os seguintes termos:
Autores mantém os direitos autorais e concedem à revista o direito de primeira publicação, sendo o trabalho simultaneamente licenciado sob a Creative Commons Attribution License o que permite o compartilhamento do trabalho com reconhecimento da autoria do trabalho e publicação inicial nesta revista.
Autores têm autorização para assumir contratos adicionais separadamente, para distribuição não-exclusiva da versão do trabalho publicada nesta revista (ex: publicar em repositório institucional ou como capítulo de livro), com reconhecimento de autoria e publicação inicial nesta revista.
Autores têm permissão e são estimulados a publicar e distribuir seu trabalho online (ex: em repositórios institucionais ou na sua página pessoal) a qualquer ponto antes ou durante o processo editorial, já que isso pode gerar alterações produtivas, bem como aumentar o impacto e a citação do trabalho publicado.
