A Hybrid Approach for the Non-Linear Analysis of Reinforced Concrete Cross Sections

2009 ◽  
Author(s):  
T. Löhning ◽  
J. Schenk ◽  
U. Starossek
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Hybrid Approach ◽  
Linear Analysis ◽  
Non Linear

Calculation of Resistance and Non-Linear Analysis of Reinforced Concrete Beams

2019 ◽  
Vol 292 ◽  
pp. 140-145
Author(s):  
Pavlina Mateckova ◽  
Lucie Mynarzova ◽  
Oldrich Sucharda ◽  
Vlastimil Bilek
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Concrete Beams ◽  
Numerical Models ◽  
Material Model ◽  
Linear Analysis ◽  
Reinforced Concrete Beams ◽  
Modes Of Failure ◽  
Eurocode 2 ◽  
Non Linear

This paper deals with analysis of set of reinforced concrete beams. Loading experiments of these beams were carried out and the results were documented and published earlier. Experiments involve several variants of spans, cross-sections and reinforcement so that various modes of failure of reinforced concrete structures are achieved. This paper compares the resistance of particular beams defined according to valid standard Eurocode 2 with non-linear analysis using advanced spatial 3D numerical models Cementitious material model based on fracture mechanics implemented in ATENA software. This paper outlines the wider evaluation of failure mode of beam and comparison of different calculations of resistance of the cross-section.

ON THE PHYSICALLY NON‐LINEAR ANALYSIS OF CYCLIC LOADED REINFORCED CONCRETE CROSS‐SECTIONS WITH MATHEMATICAL OPTIMISATION

2009 ◽  
Vol 15 (2) ◽  
pp. 189-195 ◽  
Author(s):  
Erich Raue ◽  
Hans-Georg Timmler ◽  
Robert Garke
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Deformation Behaviour ◽  
Residual Deformation ◽  
Linear Analysis ◽  
Total Potential ◽  
Non Linear ◽  
Concrete Damage ◽  
Residual Deformations ◽  
Mathematical Optimisation

In the paper, experimental results of tension member tests are used as a basis from which to develop an extended tension stiffening model for reinforced concrete, with emphasis on the specific concrete damage and the developments of residual deformations depending on the structural loading. Two characteristics are contained in the proposed model: one describes the residual deformation behaviour along the reinforcement accounting for the cracks that cannot be closed completely, while the other describes the degradation of the concrete stiffness. Within context of non‐linear analysis, the model is incorporated into an analytical approach, based on the LAG RANGE principle of minimum of total potential energy. The mechanical problem is solved with the application of the mathematical optimisation, using energy principles formulated as a kinematic formulation and transforming them into non‐linear optimisation problems. It was demonstrated, that this approach is eminently suitable for analysing pre‐damaged or pre‐loaded reinforced concrete cross‐sections under cyclic loading. Santrauka Pateikti tempiamųjų gelžbetoninių elementų eksperimentinių tyrimų rezultatai. Remiantis šiais rezultatais pasiūlytas supleišėjusio tempiamojo betono modelis, kuriame įvertinama betono pažaidų ir liekamųjų deformacijų didėjimo įtaka tempiamųjų gelžbetoninių elementų elgsenai. Modelis susideda iš dviejų komponentų: pirmasis aprašo išilginių liekamųjų deformacijų armatūroje kitimą, o antrasis betono įtakos elemento skerspjūvio deformacijoms mažėjimą. Netiesinė analizė atliekama taikant analizinį algoritmą, kuris pagrįstas Lagranžo potencinės energijos minimalumo principu. Mechaninė problema išspręsta taikant matematinį optimizavimą ir energinius principus. Pastarieji aprašyti kinematinėmis formuluotėmis jas perkeliant į netiesinio optimizavimo uždavinio algoritmus. Parodyta, kad pasiūlytas algoritmas gerai tinka cikline apkrova veikiamiems gelžbetoniniams elementams analizuoti.

Global safety format for non-linear analysis of reinforced concrete structures

2013 ◽  
Vol 14 (1) ◽  
pp. 29-42 ◽  
Author(s):  
Diego Lorenzo Allaix ◽  
Vincenzo Ilario Carbone ◽  
Giuseppe Mancini
Keyword(s):  
Reinforced Concrete ◽  
Concrete Structures ◽  
Linear Analysis ◽  
Reinforced Concrete Structures ◽  
Non Linear
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