Stress and deformation characteristics of concrete at high temperatures. 2. Experimental investigation and material behaviour model. Bulletin of Division of Structural Mechanics and Concrete Construction, Bulletin, vol.54, 1976. ,
Young's modulus and Poisson's ratio of concrete at high temperatures: Experimental investigations, Materials and Design, vol.45, pp.421-429, 2013. ,
A new approach to an analysis of large deflections of thin elastic plates, International Journal of Non-Linear Mechanics, vol.16, issue.1, pp.47-52, 1981. ,
A coupled thermo-hydro-mechanical-damage model for concrete subjected to moderate temperatures. International journal of heat and mass transfer, vol.51, pp.2847-2862, 2008. ,
Stability of structures: elastic, inelastic, fracture and damage theories, 2010. ,
Pore pressure and drying of concrete at high temperature, ASCE J Eng Mech Div, vol.104, issue.5, pp.1059-1079, 1978. ,
Pore pressure in heated concrete walls: theoretical prediction. Magazine of Concrete Research, vol.31, pp.67-76, 1979. ,
A new approach to the analysis of large deflections of plates, 1954. ,
Von Kármán's equations and the buckling of a thin elastic plate, II plate with general edge conditions, Communications on Pure and Applied Mathematics, issue.883, pp.227-241, 1968. ,
Influence of thermal exposures on mechanical characteristics of concrete, Special Publication, vol.34, pp.505-531, 1972. ,
Second-order cone and semidefinite representations of material failure criteria, Journal of Optimization Theory and Applications, vol.134, issue.2, pp.275-301, 2007. ,
, Mé canique des coques: thé orie et applications. Presses des Ponts, 2013.
Mé thodes numé riques pour le calcul à la rupture des structures de gé nie civil, 2015. ,
Failure design of high-rise concrete panels under fire loading. in Engineering and Computational Mechanics Proceedings of the Institution of Civil Engineers, pp.1-8, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01283598
Yield design of periodically heterogeneous plates, Direct Methods for Limit and Shakedown Analysis of Structures, pp.143-158, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01115853
A numerical approach to the yield strength of shell structures, European Journal of Mechanics-A/Solids, vol.59, pp.178-194, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01303348
, Theory of Thermal Stresses, 1960.
A fast stress integration algorithm for reinforced concrete sections with axial loads and biaxial bending, Computers & structures, vol.82, issue.2-3, pp.213-225, 2004. ,
Analyse des structures mé caniques par la mé thode des é lé ments finis, 2006. ,
Analysis of concrete structures under thermal loading, Computer methods in applied mechanics and engineering, vol.77, issue.3, pp.293-310, 1989. ,
Homogé né isation et plasticité de plaques minces, Revue Europé enne des Elé ments Finis. Hermè s, vol.7, pp.39-54, 1998. ,
, High Temperature Concrete: Understanding and industrial applications of high performance concretes in high temperatures environment, 1999.
Elastic, Plastic and Yield Design of Reinforced Structures, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01571290
Thin elastic and periodic plates, Mathematical Methods in the Applied Sciences. Wiley Online Library, vol.6, issue.1, pp.159-191, 1984. ,
Interaction diagrams for reinforced concrete sections subjected to fire. Engineering Structures, vol.32, pp.2832-2838, 2010. ,
Ultimate strength analysis of composite sections under biaxial bending and axial load, vol.39, pp.923-936, 2008. ,
A justification of a nonlinear model in plate theory, Computer Methods in Applied Mechanics and Engineering, vol.18, pp.227-258, 1979. ,
A justification of the von Ká rmá n equations. Archive for Rational Mechanics and Analysis, vol.73, pp.349-389, 1980. ,
A plasticity and anisotropic damage model for plain concrete, International Journal of plasticity, vol.23, pp.1874-1900, 2007. ,
, Conception des bâtiments d'activités en béton: Murs sé paratifs coupe-feu et façades à fonction d'écran thermique en béton, Le bé ton et la sé curité incendie, 2007.
, Sé curité incendie dans les bâ timents: Les apports du bé ton pour amé liorer la sé curité, 2010.
Thermomechanical analysis of functionally graded material (FGM). plates using element-free Galerkin method, Computers & Structures. Pergamon, vol.83, pp.1487-1502, 2005. ,
A multiphase thermo-hydro-mechanical model for concrete at high temperatures-Finite element implementation and validation under LOCA load, Nuclear Engineering and Design, vol.237, issue.22, pp.2137-2150, 2007. ,
Limit analysis of multi-layered plates. Part I: The homogenized Love-Kirchhoff model, Journal of the Mechanics and Physics of Solids. Pergamon, vol.56, issue.2, pp.561-580, 2008. ,
Design Concrete Structures, 2016. ,
Thermal bending of rectangular plates, Journal of the Aerospace Sciences, vol.29, issue.11, pp.90078-90083, 1962. ,
Eurocode 2: Calcul des structures en bé ton -Partie 1-1: Rè gles gé né rales et rè gles pour les bâ timents, Modelle zur beschreibung der betonverformung bei instantionaren temperaturen. Abschlubkolloquium Bauwerke unter Brandeinwirkung, vol.25, p.101, 1987. ,
Response of high performance concrete to fire conditions: review of thermal property data and measurement techniques, 1999. ,
Vorlesungen u?ber technische mechanik, 1897. ,
Axisymmetric Bending Stresses in Solid Circular Plates with Thermal Gradients, Journal of the Aerospace Sciences, vol.27, issue.9, pp.717-718, 1960. ,
Bending of Circular Plates Due to Asymmetric Temperature Distribution, Journal of the Aerospace Sciences, vol.28, issue.10, pp.773-778, 1961. ,
The Postbuckling Analysis of Heated Rectangular Plates, Journal of the Aerospace Sciences, vol.29, issue.10, pp.1262-1262, 1962. ,
Etude du comportement au feu des structures mixtes acier-bé ton, 1987. ,
Modeling structures in fire with SAFIR ® : theoretical background and capabilities, Journal of Structural Fire Engineering, vol.8, issue.3, pp.300-323, 2017. ,
SAFIR: A thermal/structural program for modeling structures under fire, Engineering Journal, pp.143-150, 2005. ,
Rods and Plates: Series in some problems of elastic equilibrium of rods and plates, Vestnik Ingenerov Tech. (USSR), vol.1, pp.897-908, 1915. ,
A formulation of the Eurocode 2 concrete model at elevated temperature that includes an explicit term for transient creep, Fire Safety Journal, vol.51, pp.1-9, 2012. ,
A multiaxial constitutive model for concrete in the fire situation: Theoretical formulation, International Journal of Solids and Structures, vol.50, pp.3659-3673, 2013. ,
Damage-plastic model for concrete failure. International journal of solids and structures, vol.43, pp.7166-7196, 2006. ,
Dé formation thermique transitoire des bé tons à haute performance: Etude expé rimentale. Revue europé enne de gé nie civil, vol.9, pp.373-383, 2005. ,
Implementation of eurocodes, handbook 5, design of buildings for the fire situation, 2005. ,
A review and catalogue of plate bending finite elements, Computers & Structures, vol.19, issue.3, pp.479-495, 1984. ,
Effect of fire on concrete and concrete structures, vol.2, pp.429-447, 2000. ,
Transient thermal strain of concrete: literature review, conditions within specimen and behaviour of individual constituents. Magazine of concrete research, vol.37, pp.131-144, 1985. ,
Über das Gleichgewicht und die Bewegung einer elastischen Scheibe, 1850. ,
Properties of concrete at elevated temperatures. ISRN Civil Engineering, 2014. ,
Failure criterion for reinforced concrete beams and plates subjected to membrane force, bending and shear, European Journal of Mechanics-A/Solids, vol.27, issue.6, pp.1161-1183, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00169938
Analysis of thin plates by the element-free Galerkin method. Computational Mechanics, vol.17, pp.26-35, 1995. ,
Interaction diagrams for ambient and heated concrete sections. Engineering Structures, vol.32, pp.1641-1649, 2010. ,
Upper and lower bound limit analysis of plates using FEM and second-order cone programming, Computers & Structures, vol.88, issue.1-2, pp.65-73, 2010. ,
Sur l'équilibre élastique d'une plaque rectangulaire, Comptes rendus hebdomadaires des séances de l'Académie des Sciences, 1899. ,
Bending of rectangular plates with large deflections, NACA Technical Note, vol.846, pp.1-46, 1942. ,
A treatise on the mathematical theory of elasticity, 1892. ,
URL : https://hal.archives-ouvertes.fr/hal-01307751
Remarks on some properties of conic yield restrictions in limit analysis, International Journal for Numerical Methods in Biomedical Engineering, vol.26, issue.11, pp.1449-1461, 2010. ,
Variations in the modulus of elasticity and Poisson's ratio with temperature, Special Publication, vol.34, pp.495-504, 1972. ,
Contribution expé rimentale à la compré hension des risques d. instabilité thermique des bé tons, 2009. ,
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates, Journal of Applied Mechanics, vol.18, issue.1, pp.31-38, 1951. ,
The Mosek optimization software, 2014. ,
A general solution for rectangular plate bending, Forschung im Ingenieurwesen, vol.45, issue.4, pp.111-118, 1979. ,
Extrait des recherches sur la flexion des plans é lastiques, Bulletin des sciences par la socié té philomatique de Paris, pp.95-102, 1823. ,
On certain inconsistencies in Berger equations for large deflections of plastic plates, International Journal of Mechanical Sciences, vol.14, issue.3, pp.165-170, 1972. ,
, , 1976.
Gradient enhanced thermo-mechanical damage model for concrete at high temperatures including transient thermal creep. International journal for numerical and analytical methods in geomechanics, vol.28, pp.715-735, 2004. ,
Analyse par le calcul à la rupture de la stabilité au feu des panneaux en bé ton armé de grandes dimensions, 2014. ,
Interaction diagrams of reinforced concrete sections in fire: A yield design approach. Engineering Structures, vol.90, pp.38-47, 2015. ,
Yield design-based analysis of high rise concrete walls subjected to fire loading conditions. Engineering Structures, vol.87, pp.153-161, 2015. ,
Test of high-rise concrete wall in fire conditions, International Fire Safety Symposium. Naples, pp.1-8, 2017. ,
Fire performance of high strength concrete: research needs. Advanced Technology in Structural Engineering, pp.1-8, 2000. ,
On the berger approximation: A critical re-examination, Journal of Sound and Vibration, vol.66, issue.2, pp.149-154, 1979. ,
The effect of transverse shear deformation on the bending of elastic plates, 1945. ,
A new technique for ultimate limit state design of arbitrary shape RC sections under biaxial bending. Engineering Structures, vol.104, pp.1-17, 2015. ,
Biaxial interaction diagrams for short RC columns of any cross section, Mé canique des Milieux Continus Tome I. Concepts Gé né raux, vol.125, pp.672-683, 1999. ,
Plastic limit analysis of plates, shells, and disks, 1997. ,
Modelling of concrete behaviour at high temperatures. Design of structures against fire, pp.53-69, 1986. ,
Concrete at high temperatures -A general review, Fire Safety Journal, vol.13, issue.1, pp.55-68, 1988. ,
Thermo-hydro-mechanical modelling of high performance concrete at high temperatures. Engineering Computations, vol.19, pp.787-819, 2002. ,
Introduction to the Theory of Plates, pp.1-41, 2009. ,
Formulation and verification of a concrete model with strong coupling between isotropic damage and elastoplasticity and comparison to a weak coupling model, Journal of Engineering Mechanics, vol.138, issue.5, pp.530-541, 2011. ,
Numerical modeling of the behavior of concrete structures in fire, ACI Structural Journal, vol.95, pp.183-193, 1998. ,
Modeling of combined thermal and mechanical action in concrete, Journal of Engineering Mechanics, vol.113, issue.6, pp.893-906, 1987. ,
Festigkeitsprobleme im maschinenbau, Encyklopa?die der mathematischen Wissenschaften, vol.4, p.75, 1910. ,
Geometrically nonlinear flexural vibrations of plates: Inplane boundary conditions and some symmetry properties, Journal of Sound and Vibration, vol.315, issue.3, pp.569-590, 2008. ,
Concrete strains under transient thermal conditions: a state-of-theart review. Engineering Structures, vol.127, pp.172-188, 2016. ,
Thin plates and shells: theory: analysis, and applications, 2001. ,
Design of reinforced concrete members under flexure or combined flexure and direct compression, Journal Proceedings, pp.483-498, 1937. ,
Constitutive model for the triaxial behaviour of concrete, Proc. Intl. Assoc. Bridge Structl. Engrs, vol.19, pp.1-30, 1975. ,
An analytical approach for predicting the deformed configuration of high-rise concrete walls subjected to fire loading conditions, Structures in Fire. Princeton, pp.119-126, 2016. ,
Finite element method : its basis and fundamentals, 2013. ,