# finite deformation of an elastic plastic granular material

### 1.14.5 Finite deformation of an elastic-plastic granular

1.14.5 Finite deformation of an elastic-plastic granular material finite-strain inelastic response of a granular material subject to uniform extension or compression in plane strain. Results given by Carter et al. (1977) for these cases are used for comparison. The specimen is initially stress-free and is made of an elastic perfectly A rational finite element algorithm for capturing localized plastic deformation due to softening and/or non-associated plastic flow is devised. The incremental relations are based on implicit integration. In each increment it is important to use a carefully designed modified Newton iteration procedure in conjunction with a start solution whose

Get Price### Finite element simulation of localized plastic deformation

A rational finite element algorithm for capturing localized plastic deformation due to softening and/or non-associated plastic flow is devised. The incremental relations are based on implicit integration. In each increment it is important to use a carefully designed modified Newton iteration procedure in conjunction with a start solution whose 1.14.5 Finite deformation of an elastic-plastic granular material finite-strain inelastic response of a granular material subject to uniform extension or compression in plane strain. Results given by Carter et al. (1977) for these cases are used for comparison. The specimen is initially stress-free and is made of an elastic perfectly

Get Price### Energy dissipation during normal impact of elastic and

Dec 01 2005 · When collision occurs between two plastic bodies plastic deformation initiates if the initial kinetic energy is high enough. The initial kinetic energy converts into elastic strain energy stored in the contacting bodies plastic strain energy to deform the material plastically and energy for In this paper the method of additive plasticity at finite deformations is generalized to the micropolar continuous media. It is shown that the non-symmetric rate of deformation tensor and gradient of gyration vector could be decomposed into elastic and plastic parts. For the finite elastic deformation the micropolar hypo-elastic constitutive equations for isotropic micropolar materials are

Get Price### Energy dissipation analysis of elastic–plastic materials

Apr 01 2018 · Energy dissipation in elastic plastic solids and structures is the result of an irreversible dissipative process in which energy is transformed from one form to another and entropy is produced. The transformation and dissipation of energy is related to permanent deformation and damage within an elastic–plastic material. Abstract. A mathematical model of developed flow of a granular material is considered. On the phenomenological level elastic properties characteristic for a compacted material and viscous properties appearing in loosening are taken into account.

Get Price### Elasto-Plastic Finite Element Evaluation of Flexible

assumed that granular material behavior changes from plastic to elastic as a function of the number of loading cycles. Step by step elasto-plastic analysis of pavements under cyclic traffic loads has not been given much attention due to its unrealistic calculation time and impossibility of Dec 06 2010 · In this paper a cyclic plasticity model based on fuzzy plasticity theory is presented to model the long-term behavior of unbound granular materials under repeated loads. The discussion focuses on the model parameters that control long-term behavior such as elastic shakedown.

Get Price### On the kinematics of finite-deformation plasticity

Summary. A theory of finite deformation plasticity is developed which involves a multiplicative decomposition of the deformation gradient through the assumption that there exists a stress-free configuration which can be used to separate the elastic and plastic components of the response. requires to separate incremental plastic strain and elastic strain. To obtain more data about plastic deformation mechansims in powder materials the Discrete Element Method (DEM)was introduced forthe modeling of granularmedia in the ﬁelds ofgeomechanics and granularﬂow andwere then applied tohard and ductile powder materials 5 6 .

Get Price### On Finite Elastic-Plastic Deformation of Metals Journal

On Finite Elastic-Plastic Deformation of Metals P. M. Naghdi P. M. Naghdi with a special class of response functions for some of the constitutive equations in the nonlinear isothermal theory of elastic-plastic materials. Detailed attention is given to the development of special forms for the free energy and the stress response motivated 4. Conclusions. A framework for energy dissipation analysis in elastic-plastic solids was established based on the. principles of thermodynamics. The concept of plastic free energy or cold work

Get Price### 1.14.5 Finite deformation of an elastic-plastic granular

1.14.5 Finite deformation of an elastic-plastic granular material finite-strain inelastic response of a granular material subject to uniform extension or compression in plane strain. Results given by Carter et al. (1977) for these cases are used for comparison. The specimen is initially stress-free and is made of an elastic perfectly On Finite Elastic-Plastic Deformation of Metals P. M. Naghdi P. M. Naghdi with a special class of response functions for some of the constitutive equations in the nonlinear isothermal theory of elastic-plastic materials. Detailed attention is given to the development of special forms for the free energy and the stress response motivated

Get Price### On the numerical modeling of granular material flows via

Oct 01 2015 · It is established that for granular material flows the deformations are permanent when flowing and that elastic deformations are considerably small than the total deformation. Thus the numerical model follows a continuum approach in the framework of large On Finite Elastic-Plastic Deformation of Metals P. M. Naghdi P. M. Naghdi with a special class of response functions for some of the constitutive equations in the nonlinear isothermal theory of elastic-plastic materials. Detailed attention is given to the development of special forms for the free energy and the stress response motivated

Get Price### (PDF) Finite Element Modelling and Laboratory

Finite Element Modelling and Laboratory Determination for the Elastic Modulus of Granular Waste Materials. making the 3DFE models suitable for addressing the elastic and plastic behaviour of The uni-axial compaction of granular materials made of elastic neo-Hookean particles is investigated in the quasi-static regime. Two-dimensional disk assemblies are simulated using the Finite Element model coupled with Contact Dynamics method for dealing both with finite deformations of the particles and contact interactions.

Get Price### Finite Element Studies of Solitary Waves in Granular

A power-law hardening material model was used to show that localized plastic deformation is present in the metallic granular chain even for an impact velocity of 0.5 m/s. This loss due to plastic deformation was quantified via impulse and it was shown Finite deformation of an elastic-plastic granular material This example develops the homogeneous finite-strain inelastic response of a granular material subject to uniform extension or compression in plane strain. Results given by Carter et al. (1977) for these cases are used for comparison. The following topics are discussed

Get Price### Finite Strains of a Granular Material SpringerLink

Abstract. A mathematical model of developed flow of a granular material is considered. On the phenomenological level elastic properties characteristic for a compacted material and viscous properties appearing in loosening are taken into account. International audienceA multi-particle finite-element method was proposed to study the elastic-plastic behaviour of ductile powders composed of highly deformable elastic-plastic particles. The focus was put on the study of the uniqueness of the direction of plastic strain increment vectors for a given stress state on the plastic limit which

Get Price### Inelastic behavior

When performing an elastic-plastic analysis at finite strains Abaqus assumes that the plastic strains dominate the deformation and that the elastic strains are small. This restriction is imposed by the elasticity models that Abaqus uses. It is justified because most materials have a well-defined yield point that is a very small percentage of To reliably predict the permanent deformation behaviour of unbound granular materials (UGM) in a pavement structure the material parameters of the constitutive models used in design should be

Get Price### An additive theory for finite elastic–plastic deformations

In this paper the method of additive plasticity at finite deformations is generalized to the micropolar continuous media. It is shown that the non-symmetric rate of deformation tensor and gradient of gyration vector could be decomposed into elastic and plastic parts. For the finite elastic deformation the micropolar hypo-elastic constitutive equations for isotropic micropolar materials are Non-elliptic elastic materials and the modeling of elastic-plastic behavior for finite deformation December 1987 · Journal of the Mechanics and Physics of Solids Rohan Abeyaratne

Get Price### Finite Strains of a Granular Material SpringerLink

Abstract. A mathematical model of developed flow of a granular material is considered. On the phenomenological level elastic properties characteristic for a compacted material and viscous properties appearing in loosening are taken into account. Based on Hill s method a self-consistent averaging scheme is proposed for estimating the overall finite deformation response of polycrystalline aggregates consisting of single crystals which undergo plastic flow by rate-dependent crystallographic slip accompanied by elastic lattice distortion.

Get Price### MODELING OF ELASTO-PLASTIC BEHAVIOUR OF GRANULAR

requires to separate incremental plastic strain and elastic strain. To obtain more data about plastic deformation mechansims in powder materials the Discrete Element Method (DEM)was introduced forthe modeling of granularmedia in the ﬁelds ofgeomechanics and granularﬂow andwere then applied tohard and ductile powder materials 5 6 . A multi-particle finite-element method was proposed to study the elastic-plastic behaviour of ductile powders composed of highly deformable elastic-plastic particles. The focus was put on the study of the uniqueness of the direction of plastic strain increment vectors for a given stress state on the plastic limit which was assessed using a spherical stress-probing method.

Get Price### Finite Deformations in Geomechanics

Generalization of behaviour laws to the finite deformation range Choice of formulation ( Eulerian or Lagrangian ) Extremely complex to introduce the concept of elastic/plastic strain ( e.g. use of the plastic strain as primitive variable ) material element. This paper reports a multiscale investigation of the deformation noncoaxiality of granular materials in monotonic shearing. Direction statistical analyses have been carried out on the particle-scale information obtained from 2D discrete element simulations. Two anisotropic specimens are used i.e. initially anisotropic and preloaded.

Get Price### (PDF) A model for predicting permanent deformation of

To reliably predict the permanent deformation behaviour of unbound granular materials (UGM) in a pavement structure the material parameters of the constitutive models used in design should be assumed that granular material behavior changes from plastic to elastic as a function of the number of loading cycles. Step by step elasto-plastic analysis of pavements under cyclic traffic loads has not been given much attention due to its unrealistic calculation time and impossibility of

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