Some features of nonlinear calculation in the building design system
DOI:
https://doi.org/10.32347/2410-2547.2024.113.183-194Keywords:
design calculations, stress-strain state, global resistance, partial reliability factors, design codAbstract
Abstract. The work is devoted to the analysis of discrepancies between linear and non-linear calculation of building structures that deform under the influence of load. It is recalled that there are two fundamentally different procedures inherent in the design calculation, namely:
(i) static or dynamic analysis of the behavior of the mechanical system, the result of which are the parameters of the stress-strain state of the system and (ii) assessment of the possible resistance of the system elements and the structure in general.
It is shown that when using linear analysis, these procedures set the content of independent calculation stages, while when using nonlinear analysis, they are combined and mutually influence each other.
Attention is drawn to features inherent only to the non-linear version of the analysis, for example, such as:
- the impossibility of using rod finite elements without crushing the length of the rod into elementary sections;
- the occurrence of tension-compression stress during bending, as a result of asymmetric development of plastic deformations along the cross-section height;
- the possibility of realizing extreme responses of the system at intermediate (not extreme) values of load intensity.
The problem of determining the limit state of the system, which corresponds to the global assessment of the carrying capacity, is considered. Taking into account the computational difficulties of numerical analysis when the system approaches the state of the mechanism, it is proposed to accept the state in which the resistance of the system decreases by several orders of magnitude compared to the beginning of the load. Attention is also drawn to cases where the limit state is determined by the level of deformation of the system.
A description of the main features of the global safety format is given, and a description of the latest known proposals for global reliability assessment and information on the implementation of these proposals in the new edition of the European Design Standards is provided.
References
Dmitriev L.G., Kasilov O.V. Vantovi pokryttia (rozrakhunok i konstruiuvannia) (Cable-stayed coverings (calculation and construction)) Kyiv: Budivelnyk, 1974 272 p. (in Russian).
Ngo T., Mendis P., Gupta A., Ramsay J. Blast Loading and Blast Effects on Structures: An Overview // Electronic Journal of Structural Engineering, Special Issue: Loading on Structures. 2007- Р. 76-91.
Lukash P.A. Osnovy neliniinoi budivelnoi mekhaniky (Basics of nonlinear construction mechanics) - M.: Stroyizdat, 1978. 204 p. (in Russian).
Oden J.T. Finite Elements of Nonlinear Continua - New York: McGraw-Hill, 1972 - 448 р.
Hinton E. Introduction to Non-linear Finite Element Analysis East Kilbridge: NAFEMS, 1992 220 p.
Crisfield M.A. Non-linear finite element analysis of solids and structures. Vol. 1: Essentails, Vol. 2: Advanced Topics - Chichester: John Wiley & Sons Ltd., 1998 - 345+494 p.
Becker A.A. Understanding Non-linear Finite Element Analysis Through Illustrative Benchmarks. Glasgow: NAFEMS, 2001. 170 p.
Bazhenov V.A., Piskunov S.O., Solodei I.I. Chyselne doslidzhennia protsesiv neliniinoho statychnoho i dynamichnoho deformuvannia prostorovykh til (Numerical study of the processes of nonlinear static and dynamic deformation of spatial bodies) - Kyiv, "Karavela" Publishing House, 2017 - 302 p (in Ukrainian).
Schlune H. Safety Evaluation of Concrete Structures with Nonlinear Analysis - Gothenburg: Chalmers University of Technology, 2011 - 45 p.
Petrov V.V. Neliniina inkrementalna budivelna mekhanika (Nonlinear incremental construction mechanics) - M.: Infra Engineering, 2014. - 480 s (in Russian).
Klovanich S.F., Malyshko L. Neliniini modeli materialiv u budivelnii mekhanitsi (Nonlinear models of materials in construction mechanics) - Odesa: ONMU, 2017 - 125 p. (in Russian).
Schlune H., Plos M., Gylltoft K. Safety Format for the non-linear analysis of Concrete Structures // Engineering Structures, 2011, Vol. 3, №8 – Р. 2350-2356.
Bertagnoli G, Giordano L, Mancini G. Safety Format for the Nonlinear Analysis of Concrete Structures. Studi e ricerche. Politecnico di Milano, Scuola di specializzazione in costruzioni in cemento armato, 2004, Vol. 25 – Р 31-56.
Tur A., Tur V. Reliability Approaches to Modeling of the Nonlinear Pseudo-static Response of RC-structural Systems in Accidental Design Situations // Journal of Sustainable Architecture and Civil Engineering, 2018, Vol. 22, Issue 1– Р 76-87.
Allaix D.L., Carbone V.I., Mancini G. Global Safety Format for Non-Linear Analysis of Reinforced Concrete Structures // Structural Concrete, 2013,; Vol. 14 – Р 29–42.
Sangiogio F. Safety Format for Non-linear Analysis of RC Structures Subjected to Multiple Failure Modes. Doctoral Thesis – Stockholm, Sweden: KTH Royal Institute of Technology, 2015 – 45 p.
Gino D., Castaldo P., Giordano L., Mancini G. Model uncertainty in non-linear numerical analyses of slender reinforced concrete members // Structural concrete, 2021, Vol. 22(2) – Р 845-870. DOI:10.1002/suco.202000600.
Cervenka V, Cervenka J, Kadlek L Model uncertainties in numerical simulations of reinforced concrete structures // Structural Concrete, 2018;19:2004–2016
EN 1990:2023. Eurocode - Basis of structural and geotechnical design - Brussels, Belgium: CEN, European Committee for Standardization, 2023.
EN 1993-1-1:2022. Eurocode 3: Design of steel structures. Part 1-1: General rules and rules for buildings - Brussels, Belgium: CEN, European Committee for Standardization, 2022.
prEN 1992-1-1:2021. Eurocode 2: Design of concrete structures. Part 1-1: General rules - Rules for buildings, bridges and civil engineering structures - Brussels, Belgium: CEN, European Committee for Standardization, 2021.
DBN V.2.62-98:2008 Betoni ta zalizobetoni konstruktsii. Osnovni polozhennia proektuvannia (Concrete and reinforced concrete structures. Basic provisions of design) - Kyiv, Ministry of Regions of Ukraine, 2011 (in Ukrainian).
DBN V.2.6-198:2014 Stalevi konstruktsii. Normy proektuvannia (Steel structures. Design norms) - Kyiv, Ministry of Regions of Ukraine, 2014 (in Ukrainian).
Perelmuter A.V. Besidy pro budivelnu mekhaniku (Conversations about construction mechanics) - K.: "Stal" Publishing House, 2024 - 316 p (in Ukrainian).
Perelmuter A.V., Slivker V.I. Numerical Structural Analysis: Models: Methods and Pitfalls.- Berlin-Heidelberg-New York: Springer Verlag, 2003.- 600 p.
Perelmuter A.V., Pichugin S.F. Osnovy metodu rozrakhunkovykh hranychnykh staniv (Basics of the method of calculated limit states) - K.: Sofia-A Publishing House, 2024 - 253 p (in Ukrainian).
Perelmuter A.V. Repulsion criterion in estimating structural limit state. Vestnik MGSU. 2021; 16 (12): 559−566.
Fialko S.Yu. Zastosuvannia metodu skinchenykh elementiv do analizu mitsnosti ta nesuchoi zdatnosti tonkostinnykh zalizobetonnykh konstruktsii z urakhuvanniam fizychnoi neliniinosti (Application of the finite element method to the analysis of the strength and load-bearing capacity of thin-walled reinforced concrete structures taking into account physical nonlinearity) - Moscow: SKAD SOFT Publishing House, ASV Publishing House, 2018 - 192 p. (in Russian).
Cervenka V. Reliability-based non-linear analysis according to fib Model Code 2010, Structures Concrete, Journal of fib / March 2013. – Vol. 14. – ISSN 1464-4177. – Р. 19–28.
Walraven J., (editor), «fib Model Code for Concrete Structures 2010», September 2013, ISBN: 978-3-433-03061-5.
Červenka V., Červenka J., Sýkora M., Mlčoch J. Computational Modelling of Concrete Structures // Meschke, Pichler & Rots (Eds). Evaluation of safety formats for structural assessment based on nonlinear analysis - London: Taylor & Francis Group, 2018 - Р. 669-678.
Sýkora M. Holický M. Safety format for non-linear analysis in the model code – verification of reliability level // Proceedings of the fib Symposium, Prague, 8-10 June, 2011 - Prague. 2011. - P. 943-946.
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
