# towards a model for large strain anisotropic elasto

### Constitutive modelling of fabric anisotropy in sand

to rotate towards the direction of stress and the dif-ferencebetweenα(ε)andα(σ)predictedbythemodel decreases after the peak and the non-coaxiality will totally disappear at large strain levels. Figure 3 shows the model simulation for the sand fabric evolution in undrained triaxial extension where static liquefaction occurs.

Get Price### International Journal of Plasticity

2008 2009 Lee et al. 2011). Under this approximation the elastic strains are considered negligible compared with the plas-tic strains and the viscoplastic strain rate e_pðxÞ is constitutively related with the stress r(x) at a single-crystal material point x through a sum

Get Price### Micromechanical modeling of intraspherulitic deformation

An elasto-viscoplastic model for the behavior of semicrystalline materials was presented by Van Dommelen et al. 32 . with the strain becoming very large towards the center of the spherulite. The anisotropic constitutive behavior of intraspherulitic

Get Price### (PDF) Modeling large strain anisotropic elasto-plasticity

The hyperelastic relations must take this fact into account and the kinematics of deformation for this fully anisotropic case is hence more complex.With the beginning of the new century algorithms for implicit large strain anisotropic elasto-plasticity based on hyperelastic relations began to appear see for example 4 6 7 36 .

Get Price### CYCLIC PLASTICITY MODEL WITH ANISOTROPY EVOLUTION

a Corresponding author fyoshida hiroshima-u.ac.jp CYCLIC PLASTICITY MODEL WITH ANISOTROPY EVOLUTION Fusahito YOSHIDA1 a Hiroshi HAMASAKI1 and Takeshi UEMORI2 1Hiroshima University Institute of Engineering Higashi-Hiroshima Japan 2Okayama University Department of Advanced Mechanics and Manufacturing Okayama Japan Abstract. A framework for a combined anisotropic

Get Price### Invariance Considerations in Large Strain Elasto

Invariance Considerations in Large Strain Elasto-Plasticity P. A. Dashner. P. A. Dashner including a physical example involving a "structurally anisotropic" crystal suggest that a more intricate definition of the gradient constituents is required in order to adequately account for microstructural characteristics. A Fast Running

Get Price### Implementation of a large elasto-plastic strain formalism

material a large strain analysis must include an elasto-plastic analysis. One of the objectives of this study is to take advantage as much as possible of what is already implemented and validated in the code. The general nonlinear resolution procedure (already implemented) is presented in Appendix A. 2.

Get Price### Yield criteria in anisotropic finite elasto-plasticity

We compare our anisotropic model with the elasto-plastic model usually adopted in computational finite plasticity. Cleja-Tigoiu Large elasto-plastic deformations of materials with relaxed configurationsI. Constitutive assumptions II. A theory with a view toward applications Part II Archive for Rational Mechanics and Analaysis

Get Price### A hyperelastic‐based large strain elasto‐plastic

The combined isotropic‐kinematic hardening model of the infinitesimal theory of plasticity is extended to the large strain range on the basis of three main assumptions (i) the formulation is hyperelastic based (ii) the stress‐strain law preserves the elastic constants of the infinitesimal theory but is written in terms of the Hencky strain tensor and its elastic work conjugate stress tensor and (iii) the multiplicative

Get Price### An elastoplastic damage-induced anisotropic constitutive

Eterovic AL Bathe KJ (1990) A hyperelastic based large strain elasto plastic constitutive formulation with combined isotropic kinematic hardening using the logarithmic stress and strain measures. International Journal for Numerical Methods in Engineering 30(6) .

Get Price### Influence of the Lode parameter and the stress triaxiality

a) b) εe p XΣ c) d) Figure 1 Failure of hot rolled medium-strength steel. (a) Eﬀective plastic strain and failure vs. stress triaxiality. (On the plot εp cf and ε p nf refer to the critical plastic strains at the center of a notch and the average plastic strain at the notch respectively). The rest of the ﬁgures correspond to SEM fractographs showing the rupture modes b) a

Get Price### Elasto-visco-plastic material models and their industrial

(1998). A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. (1983). A constitutive model and data for metals subjected to large strains high strain rates and high temperatures. In (1989).

Get Price### Elasto-viscoplastic phase field modelling of anisotropic

A finite-strain anisotropic phase field method is developed to model the localisation of damage on a defined family of crystallographic planes characteristic of cleavage fracture in metals. The approach is based on the introduction of an undamaged

Get Price### A HYPERELASTIC-BASED LARGE STRAIN ELASTO-PLASTIC

The combined isotropic-kinematic hardening model of the infinitesimal theory of plasticity is extended to the large strain range on the basis of three main assumptions (i) the formulation is hyperelastic based (ii) the stress-strain law preserves the elastic constants of the infinitesimal theory but is written in terms of the Hencky strain tensor and its elastic work conjugate

Get Price### ADINA Theory 14

Abstract In this paper we present a model and a fully implicit algorithm for large strain anisotropic elasto- plasticity with mixed hardening in which the elastic anisotropy is taken into account. The formulation is developed using hyperelasticity in terms of logarithmic strains the multiplicative decomposition of the deformation gradient

Get Price### Elasto-visco-plastic material models and their industrial

(1998). A constitutive frame of elastoplasticity at large strains based on the notion of a plastic metric. (1983). A constitutive model and data for metals subjected to large strains high strain rates and high temperatures. In (1989).

Get Price### A hyperelastic‐based large strain elasto‐plastic

The combined isotropic‐kinematic hardening model of the infinitesimal theory of plasticity is extended to the large strain range on the basis of three main assumptions (i) the formulation is hyperelastic based (ii) the stress‐strain law preserves the elastic constants of the infinitesimal theory but is written in terms of the Hencky strain tensor and its elastic work conjugate stress tensor and (iii) the multiplicative

Get Price### Constitutive modelling of fabric anisotropy in sand

to rotate towards the direction of stress and the dif-ferencebetweenα(ε)andα(σ)predictedbythemodel decreases after the peak and the non-coaxiality will totally disappear at large strain levels. Figure 3 shows the model simulation for the sand fabric evolution in undrained triaxial extension where static liquefaction occurs.

Get Price### ORIGINAL PAPER Insight into a model for large strain

CiteSeerXDocument Details (Isaac Councill Lee Giles Pradeep Teregowda) Abstract Efficient and accurate simulation of the deformations in anisotropic metallic sheets requires a constitutive model and an accompanying algorithm at large strains which take into account the anisotropy of both the elastic and plastic material behaviors as well as their evolution with plastic strains.

Get Price### Modeling and Simulations for Geotechnical Problems

Modeling and Simulations for Geotechnical Problems Stochastic Elasto-Plasticity Low OCR Cam Clay with Random G M and p0 0.1 0.2 0.3 0.04 0.03 0.02 0.01 0

Get Price### IMPLEMENTATION OF AN ANISOTROPIC DAMAGE

model yet. A numerical limitation is that this model converges only for very small steps (known for models based on strain equivalence3). 4 CONCLUSIONS The continuum anisotropic damage model is successfully implemented in the FEA code DiekA for non-proportional loads. However the model need some improvements towards the physical

Get Price### ADINA Theory 14

Abstract In this paper we present a model and a fully implicit algorithm for large strain anisotropic elasto- plasticity with mixed hardening in which the elastic anisotropy is taken into account. The formulation is developed using hyperelasticity in terms of logarithmic strains the multiplicative decomposition of the deformation gradient

Get Price### Invariance Considerations in Large Strain Elasto

Invariance Considerations in Large Strain Elasto-Plasticity P. A. Dashner. P. A. Dashner including a physical example involving a "structurally anisotropic" crystal suggest that a more intricate definition of the gradient constituents is required in order to adequately account for microstructural characteristics. A Fast Running

Get Price### PAPER OPEN ACCESS Soil anisotropic stress-strain

Alternatively Rotational Multiple Yield Surface Framework (RMYSF) is a model to describe soil volume change that considering the true nature of soil. The framework satisfies these conditions (1) developed from the standpoint of the soil stress-strain curves (2) apply anisotropic stress condition

Get Price### An anisotropic fibre-matrix material model at finite

Dec 10 2004 · An anisotropic fibre-matrix material model at finite elastic-plastic strains An anisotropic fibre-matrix material model at finite elastic-plastic strains Klinkel S. Sansour C. Wagner W. 00 00 00 Comput Mech (2005) 35 409–417 DOI 10.1007/s ORIGINAL PAPER S. Klinkel C. Sansour W. Wagner An anisotropic ﬁbre-matrix material model at ﬁnite elastic-plastic

Get Price### ORIGINAL PAPER Insight into a model for large strain

CiteSeerXDocument Details (Isaac Councill Lee Giles Pradeep Teregowda) Abstract Efficient and accurate simulation of the deformations in anisotropic metallic sheets requires a constitutive model and an accompanying algorithm at large strains which take into account the anisotropy of both the elastic and plastic material behaviors as well as their evolution with plastic strains.

Get Price### A Co-Rotational Based Anisotropic Elasto–Plastic Model for

Geometrical non-linearity is one of the aspects to be taken into account for accurate analysis of fibre reinforced polymers (FRPs) since large displacements and rotations may be observed in many of its structural applications such as in aircraft wings and wind turbine blades. In this paper a co-rotational formulation and implementation of an invariant-based anisotropic plasticity model are

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