Article

# Constitutive model with strain softening

Department of Civil Engineering and Engineering Mechanics, University of Arizona, Tucson, AZ 85721, U.S.A.

Mathematical and Computer Modelling (Impact Factor: 1.42). 01/1987; DOI: 10.1016/0020-7683(87)90076-X - Citations (0)
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**ABSTRACT:**In this paper, a new constitutive law for concrete is proposed to predict the non-linear behavior of reinforced concrete members. The proposed model is intended to provide improvements on modeling the non-linear hysteretic behavior of concrete structures in the finite element coding. The independent damage and fracture parameters in compression and in tension have been introduced to the constitutive law of concrete degradation, due to increasing loads. In the sample of non-linear monotonic compressive loading, the law has been derived from a basic mathematical model obtained previously. In addition, in the sample of monotonic tension loading, the same law is adopted based on the latter basic mathematical model. The main novelty of the proposed Uniaxial Constitutive Law (UCL) lies in the fact that all the required input data can be obtained through conventional monotonic and cyclic compression and tension tests.Scientia Iranica 04/2011; 18(2):150–162. · 0.54 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**Based on the fluid-solid coupling by using the numerical analysis, the mechanics of interaction between slurry and soil in earth dam by splitting grouted are studied. Considering the seepage of slurry in the dam, the Mohr-Coulomb Hardening constitutive model is adopted in this paper through analyzing the pore pressure, stress and strain of the earth dam. It is founded that the slurry by splitting grouted is distributing as earth dam axis as the center and diffusing around. The stress of earth dam is improved by the quadratic stress regulation. Because of the interaction between slurry and soil, the horizontal displacement of earth dam by splitting grouted is generated. Those cause the cracks at the dam abutment.Procedia Engineering. 28:351–355. - [Show abstract] [Hide abstract]

**ABSTRACT:**Flexible multibody systems are studied where plasticity is induced by inertial forces. Such a situation may occur when the stiffness of a structure is weakened by an operation under catastrophic environmental conditions. To analyze this phenomenon, plane motions of beam elements with large rigid-body motion and moderately large deformation are considered. The equations of motions for the problem are derived by Hamilton's principle extended to nonconservative systems. Stiffening terms are included via the second order theory of structures. The elastic part of the multibody system generates differential algebraic equations (DAE). Implicit Runge Kutta schemes are used to transform the DAEs into a nonlinear system of equations that have to be solved for every time-step. The nonlinear part of strain is solved by a fixed-point iteration, where the nonlinear system of equations is solved in every step of the iteration. The high efficiency of this method is due to the fact that the fixed-point iteration of the nonlinear strain is computationally less demanding for the large number of unknowns than the Newton-based nonlinear solver used for the elastic part. The algorithm is optimized by time and spacewise adaptive discretization. As a result, during time-steps with pure elastic deformation, a higher order time-integration rule can be used with much larger time-steps as compared to the steps with plastification. A damage law is built into the algorithm in order to treat a wider variety of problems, such as low-cycle fatigue of a machine element. A slider crank mechanism is investigated where low-cycle fatigue of a machine element occurs due to high velocities of the mechanism. Characteristic solution variables are shown, as well as the functioning of the adaptive algorithm.Mechanics Based Design of Structures and Machines - MECH BASED DES STRUCT MECH. 01/2003; 31(2):201-227.

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