Recent developments in the finite element analysis of prestressed concrete reactor vessels

Abstract This paper describes recent developments in the nonlinear deformation and ultimate load analysis of prestressed concrete reactor vessels using finite elements. First, a number of finite element models are called into attention for the idealization of composite structures such as reinforced and prestressed concrete components. Then different inelastic constitutive models are proposed for the behaviour of concrete in the pre- and post-failure regime. Subsequently various numerical techniques are examined for the solution of nonlinear problems, especially with regard to their distortion of the constitutive model. In conclusion these modelling techniques are applied to the analysis of four typical examples, the nonlinear deformation analysis of a concrete specimen subjected to biaxial compression, the crack analysis of a thick-walled concrete cylinder, the overload analysis of the THTR 1 : 5 scale model, and the ultimate load analysis of a concrete top closure model.

[1]  S.l. Andersen,et al.  Ultimate Load Behavior of PCRV Top-Closures. Theoretical and Experimental Investigations , 1973 .

[2]  O. Zienkiewicz,et al.  Stress Analysis of Rock as a ‘No Tension’ Material , 1968 .

[3]  J. Karni,et al.  Strength of Concrete under Combined Tensile and Compressive Stress , 1958 .

[4]  Ian P. King,et al.  Elastic-plastic analysis of two-dimensional stress systems by the finite element method , 1967 .

[5]  J. H. Argyris,et al.  Die elastoplastische Berechnung von allgemeinen Tragwerken und Kontinua , 1969 .

[6]  Somasundaram Valliappan,et al.  Nonlinear Stress Analysis of Reinforced Concrete , 1972 .

[7]  Y. R. Rashid,et al.  Ultimate strength analysis of prestressed concrete pressure vessels , 1968 .

[8]  W. C. Schnobrich,et al.  Finite Element Analysis of Reinforced Concrete , 1973 .

[9]  Discrete element methods for the plastic analysis of structures subjected to cyclic loading , 1970 .

[10]  Clifford Ambrose Truesdell,et al.  The Simplest Rate Theory of Pure Elasticity , 1955 .

[11]  Karl S. Pister,et al.  Constitutive modeling and numerical solution of field problems , 1974 .

[12]  John Argyris,et al.  Aspects of the Finite Element Method as Applied to Aero-Space Structures , 1973 .

[13]  D. C. Drucker,et al.  A DEFINITION OF STABLE INELASTIC MATERIAL , 1957 .

[14]  J. H. Argyris,et al.  Energy theorems and structural analysis , 1960 .

[15]  Richard H. Gallagher Stress Analysis of Heated Complex Shapes , 1962 .

[16]  Ernst Schrem,et al.  Computer Implementation of the Finite-Element Procedure , 1973 .

[17]  D. Ngo,et al.  Finite Element Analysis of Reinforced Concrete Beams , 1967 .

[18]  C. L. Morgan,et al.  Continua and Discontinua , 1916 .

[19]  Sandor Popovics,et al.  A REVIEW OF STRESS-STRAIN RELATIONSHIPS FOR CONCRETE , 1970 .

[20]  Kurt H. Gerstle,et al.  Behavior of Concrete Under Biaxial Stresses , 1969 .

[21]  O. C. Zienkiewicz,et al.  Elasto‐plastic stress analysis. A generalization for various contitutive relations including strain softening , 1972 .

[22]  K. Schimmelpfennig,et al.  Untersuchungen zur Grenztragfähigkeit von Spannbeton-Reaktordruckbehältern , 1973 .

[23]  W. Prager,et al.  A NEW METHOD OF ANALYZING STRESSES AND STRAINS IN WORK - HARDENING PLASTIC SOLIDS , 1956 .

[24]  Andrew Scanlon,et al.  Time dependent deflections of reinforced concrete slabs , 1971 .

[25]  John Argyris,et al.  General Treatment of Structural Modifications , 1972 .

[26]  David G. Elms,et al.  Partially Cracked Finite Elements , 1971 .

[27]  Egor P. Popov,et al.  Elastic-Plastic Analysis of Some Pressure Vessel Heads , 1970 .

[28]  Y. Yamada,et al.  Plastic stress-strain matrix and its application for the solution of elastic-plastic problems by the finite element method , 1968 .

[29]  Richard E. Goodman,et al.  CLOSURE ON A MODEL FOR THE MECHANICS OF JOINTED ROCK , 1968 .

[30]  H. Gachon,et al.  Strain and ultimate strength of concrete under triaxial stress , 1971 .

[31]  Jan C. Jofriet,et al.  Finite Element Analysis of Reinforced Concrete Slabs , 1971 .

[32]  John Argyris,et al.  Methods of elastoplastic analysis , 1972 .

[33]  G. Gudehus,et al.  Elastoplastische Stoffgleichungen für trockenen Sand , 1973 .

[34]  O. C. Zienkiewicz,et al.  Elasto‐plastic solutions of engineering problems ‘initial stress’, finite element approach , 1969 .

[35]  Arthur H. Nilson,et al.  Biaxial Stress-Strain Relations for Concrete , 1972 .

[36]  Vladimir Cervenka Inelastic finite element analysis of reinforced concrete panels under in-plane loads , 1970 .

[37]  Diethelm Linse,et al.  Versuchsanlage zur ermittlung der dreiachsigen festigkeit von beton mit ersten versuchsergebnissen , 1973 .

[38]  H. Balmer,et al.  Elastoplastic and creep analysis with the ASKA program system , 1974 .

[39]  Richard E. Goodman,et al.  Duplication of Dilatancy in Analysis of Jointed Rocks , 1972 .

[40]  Melvin L. Baron,et al.  Application of variable moduli models to soil behavior , 1971 .

[41]  J. Argyris,et al.  Elasto-plastic Matrix Displacement Analysis of Three-dimensional Continua , 1965, The Journal of the Royal Aeronautical Society.

[42]  P. M. Naghdi,et al.  STRESS-STRAIN RELATIONS IN PLASTICITY AND THERMOPLASTICITY* , 1960 .