Hysteretic models for deteriorating inelastic structures

The modeling of deteriorating hysteretic behavior is becoming increasingly important, especially in the context of seismic analysis and design. This paper presents the development of a versatile smooth hysteretic model based on internal variables, with stiffness and strength deterioration and with pinching characteristics. The theoretical background, development, and implementation of the model are discussed. Examples are shown to illustrate the features of the model. Many inelastic constitutive models in popular use have been developed independently of each other based on different behavioral, physical, or mathematical motivations. This paper attempts to unify the concepts underlying such models. Such a holistic understanding is essential to realize limitations in application of inelastic models and to extend 1D models to 3D models featuring interaction between various stress resultants.

[1]  Y. Reichman,et al.  Extending the seismic life span of bridges: Analytical evaluation of retrofit measures , 1995 .

[2]  R. Clough.  Effect of stiffness degradation on earthquake ductility requirements , 1966 .

[3]  Zdenek P. Bazant,et al.  ENDOCHRONIC THEORY OF INELASTICITY AND FAILURE OF CONCRETE , 1976 .

[4]  G. Masing,et al.  Eigenspannungen und Verfestigung beim Messing , 1926 .

[5]  Y. Wen.  Method for Random Vibration of Hysteretic Systems , 1976 .

[6]  Mohammad Noori,et al.  Random Vibration of Degrading, Pinching Systems , 1985 .

[7]  Michael C. Constantinou,et al.  Dynamics of Soil-Base-Isolated-Structure Systems , 1988 .

[8]  Ravi Thyagarajan,et al.  Modeling and analysis of hysteretic structural behavior , 1989 .

[9]  Fabio Casciati,et al.  Stochastic dynamics of hysteretic media , 1989 .

[10]  Hiroshi Katukura,et al.  Markovian Hysteretic Characteristics of Structures , 1990 .

[11]  H. Ozdemir.  Nonlinear transient dynamic analysis of yielding structure , 1973 .

[12]  K. Valanis,et al.  FUNDAMENTAL CONSEQUENCES OF A NEW INTRINSIC TIME MEASURE-PLASTICITY AS A LIMIT OF THE ENDOCHRONIC THEORY , 1980 .

[13]  Andrei M. Reinhorn,et al.  IDARC2D, Version 4.0: A Computer Program for the Inelastic Damage Analysis of Buildings , 1996 .

[14]  M. Menegotto.  Method of Analysis for Cyclically Loaded R. C. Plane Frames Including Changes in Geometry and Non-Elastic Behavior of Elements under Combined Normal Force and Bending , 1973 .

[15]  K. C. Valanis,et al.  A theory of viscoplasticity without a yield surface , 1970 .

[16]  R. Bouc.  Forced Vibration of Mechanical Systems with Hysteresis , 1967 .

[17]  Andrei M. Reinhorn,et al.  Modeling of Masonry Infill Panels for Structural Analysis , 1995 .

[18]  Y. J. Park,et al.  IDARC: Inelastic Damage Analysis of Reinforced Concrete Frame - Shear-Wall Structures , 1987 .

[19]  W. Ramberg,et al.  Description of Stress-Strain Curves by Three Parameters , 1943 .

[20]  M. V. Sivaselvan,et al.  Hysteretic Models for Cyclic Behavior of Deteriorating Inelastic Structures , 1999 .

[21]  Michael C. Constantinou,et al.  3D-BASIS - Nonlinear Dynamic Analysis of Three-Dimensional Base Isolated Structures: Part II , 1991 .

[22]  Naser Mostaghel,et al.  Analytical Description of Pinching, Degrading Hysteretic Systems , 1999 .

[23]  Greg Foliente,et al.  Hysteresis Modeling of Wood Joints and Structural Systems , 1995 .

[24]  T. T. Soong,et al.  Passive Energy Dissipation Systems in Structural Engineering , 1997 .

[25]  Y. Fung.  Foundations of solid mechanics , 1965 .

[26]  W. Iwan.  A Distributed-Element Model for Hysteresis and Its Steady-State Dynamic Response , 1966 .

[27]  Maurice A. Biot,et al.  Theory of Stress‐Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena , 1954 .

[28]  T. Takeda,et al.  Reinforced Concrete response to simulated earthquakes , 1970 .

[29]  Yi-Kwei Wen,et al.  Evaluation of Pre-Northridge Low-Rise Steel Buildings. I: Modeling , 2000 .