Finite element simulation of a two-phase viscoplastic material: calculation of the mechanical behaviour (original) (raw)

Finite element analysis of compressible viscoplasticity using a three-field formulation

Computer Methods in Applied Mechanics and Engineering, 1999

In the present study, a finite element model has been formulated to simulate the hot forging stage in powder metallurgy manufacturing route. The compacted material is assumed to obey a purely viscoplastic compressible flow rule. A three-field formulation (velocity, volumetric strain rate and pressure) has been developed. The associated three-dimensional finite element discretization is detailed. In order to take advantage of an automatic remeshing procedure for linear tetrahedra, the compatible P1+/P1/P1 element is used (4-node element plus additional degrees of freedom and bubble interpolation for velocity). The complete model includes thermomechanical coupling and friction. The formulation is validated versus an analytic solution of uniaxial free compaction and applied to the hot forging of an automotive connecting rod preform.

Application of finite-element-based solution technologies for viscoplastic structural analyses

Communications in Applied Numerical Methods, 1991

Finite-element solution technology developed for use in conjunction with advanced viscoplastic models is described. The development of such solution technology is necessary for performing stress/life analyses of engineering structural problems where the complex geometries and loadings make the conventional analytical solutions difficult. The versatility of the solution technology is demonstrated by applying it to viscoplastic models possessing different mathematical structures and encompassing isotropic and anisotropic materials. The computational results qualitatively replicate deformation behavior observed in experiments on prototypical structural components. This report illustrates the application of some of these solution technologies with regard to the viscoplastic models developed by Robinson, Freed, and

Finite element simulations of viscoplastic flows in the presence of inertia and elastic effects

2015

In this article some computations of inertia flows of elasto-viscoplastic materials down a one-to-four sudden expansion-contraction are performed. The phenomenon is model by the mass usual mass and and momentum balance equations together with an Oldroyd-type viscoelastic equation, modified to accommodate a dependence of both relaxation and retardation time as the viscoplastic viscosity on the material structure level. Such a model is approximated via a three-field Galerkin least-squares method in terms of extra-stress, velocity and pressure fields. According to its design, the compatibility conditions between the extra-stress-velocity and pressure-velocity finite element sub-spaces are bypassed, allowing the method uses equal-order finite element interpolations-more details see [8] and [1]. In the computations, the relevant adimensional elastic and viscous parameters are ranged in order to evaluate their influence on the elasto-viscoplastic fluid dynamics.

EÄective properties of a viscoplastic constitutive model obtained by homogenisation

1999

Heterogeneous materials are used more and more frequent due to their enhanced mechanical properties. If the relation between the microscopic deformation and the macroscopic mechanical behaviour can be obtained, it can be used to design new materials with desired properties such as high strength, high stiness or high toughness. A method for obtaining this relation is called homogenisation, by which the heterogeneous material is replaced by an equivalent homogeneous continuum. In this paper, a homogenisation method is proposed which oers the possibility to determine eective material properties for the homogeneous equivalent continuum, modelled by Perzyna's viscoplastic constitutive law. To this end, ®nite element calculations are performed on a representative volume element, the geometry of which is de®ned by the microstructure of the considered material. The mechanical behaviour of this RVE will also be described by a viscoplastic model, clearly with a given parameter set. The proposed homogenisation strategy provides a way to acquire the constitutive parameters for the equivalent medium. To validate the results of the homogenisation, ®nite element calculations of the deformation behaviour of a perforated plate that is subjected to dierent loading histories are performed. The global mechanical behaviour of the homogenised simulations and direct calculations, where the heterogeneous structure is completely discretised, will be compared. Ó

Interfacial models in viscoplastic composites materials

International Journal of Engineering Science, 2010

The aim of the present work is to extend the concept of interphase and equivalent imperfect interface in the context of viscoplasticity. The interphase takes the form of a thin curved layer of constant thickness, made up of a rigid viscoplastic material located between two other surrounding materials. We aim at representing this interphase by an interface with appropriately devised interface conditions. To reach this objective, a Taylor expansion of the relevant physical fields in the thin region is used. It is shown that, depending of the degree of stiffness of the layer with respect to the neighboring media, this interphase can be replaced by an idealized imperfect interface involving the jump of the velocity field or the traction vector. The first kind of interface model, applicable to soft interphases, is the "spring-type" interface across which the traction are continuous but the velocity field exhibits a discontinuity which is given in term of the traction by a power-law type relation. Moreover, it is shown that the constant of the model can be expressed in terms of the material parameters of the interphase. When the interphase is stiffer than the two surrounding media, one obtain a "stress-type" interface across which the velocity is continuous and a jump condition for the traction is given by a generalization of the so-called Young Laplace model to viscoplastic solids.

Mechanical characterisation of a viscoplastic material sensitive to hydrostatic pressure

European Journal of Mechanics - A/Solids, 2009

The present paper deals with the characterisation of the static mechanical behaviour of an energetic material all along its lifespan. The material behaviour is viscoplastic, damageable and sensitive to hydrostatic pressure. For such materials, existing models have generally been developed in the framework of transient dynamic behaviour. These models are not suitable for a static study. Therefore a specific experimental protocol and an associated model are developed. Characterisation is derived from both uniaxial compressive, tensile tests and tri-axial tests. Plastic behaviour is described by means of a parabolic yield criterion and a new hardening law. Non-associated plastic flow rule and isotropic damage complete the model. The performance of the model is illustrated through the simulation of various loading paths.

Viscoelastic-plastic Materials: Parameter Estimate and Numerical Simulation of Experimental Tests

2019

This paper is focused on a generalized Voigt model applicable to three-dimensional stress states and suitable for the numerical analysis of structural systems made of bituminous mixtures. In this context, it is noted that viscoelastic-plastic models, in principle, can be easily and effectively utilized in the field of pavement analysis and design, since they require limited computational effort. In fact, modern computers and well tested algorithms are definitely adequate for the nonlinear analysis of structural systems, although elastic discrete models are obviously easier to handle, because the response to external actions is obtained by solving a single linear system of equations. Instead, even in the case of quasi-static loading conditions, viscous materials require an incremental analysis, which is carried out by subdividing the load history into a finite number of time-steps. In addition, when plastic deformations are considered, an iterative algorithm is needed to find the non...

Development of a Novel Hybrid Unified Viscoplastic Constitutive Model

Volume 9: Mechanics of Solids, Structures and Fluids, 2015

Hastelloy X and stainless steel 304 are alloys widely used in industrial gas turbines components, petrochemical industry and energy generation applications; In the Pressure Vessel and Piping (PVP) industries they are used in nuclear and chemical reactors, pipes and valves applications. Hastelloy X and stainless steel 304 are favored for these types of applications where elevated temperatures are preferred for better systems’ efficiencies; they are favored due to its high strength and corrosion resistance at high temperature levels. A common characteristic of these alloys, is its rate-dependent mechanical behavior which difficult the prediction of the material response for design and simulation purposes. Therefore, a precise unified viscoplastic model capable to describe Hastelloy X and stainless steel 304 behaviors under a variety of loading conditions at high temperatures is needed to allow a better and less conservative design of components. Numerous classical unified viscoplastic...

Finite Element Implementation of Viscoplastic Models and its Application to Nonlinear Structural Analysis

1988

The visco-plastic constitutive model with strain-range-dependent cyclic hardening previously developed by Kang et al. (Int. J. Plast. 2003; 19:1801-1819) was implemented into a ÿnite element code, ABAQUS. The constitutive model was ÿrst extended to simulate the ratchetting and cyclic stress relaxation by introducing a combined kinematic hardening rule. In the implementation, a new nonlinear scalar equation of implicit stress integration algorithm was formulated, and a new expression of consistent tangent modulus was derived for the proposed constitutive model and formulated stress integration algorithm. First, some theoretical simulations were constructed to evaluate the capability of the proposed model to predict the strain-range-dependent cyclic hardening behaviour and ratchetting of the material. And then, some numerical examples of ÿnite element calculation (ABAQUS) were given to verify the advantage of the implementation and the capability of the UMAT user subroutine to simulate the ratchetting and cyclic stress relaxation of certain structure components. Copyright ? 2005 John Wiley & Sons, Ltd.