Bi-modulus materials consistent with a stored energy function: Theory and numerical implementation

Latorre, Marcos; Montáns, Francisco J.

doi:10.1016/j.compstruc.2019.106176

Cited by 20 publications

(4 citation statements)

References 55 publications

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“…For numerical methods of bi-modulus materials, a typical approach is based on the Ambartsumyan constitutive model, which uses principal stresses to determine the material tension-compression state. Based on this, elastic parameters of the material are selected to construct a stiffness matrix with different modulus for tension and compression along the principal stress direction [15,16]. However, this approach suffers from issues of unstable iteration, low convergence, and poor efficiency.…”

Section: Numerical Methods For Tension-compression Asymmetrymentioning

confidence: 99%

Structural Integrity Assessment of an NEPE Propellant Grain Considering the Tension–Compression Asymmetry in Its Mechanical Property

et al. 2023

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In order to investigate the effect of tension–compression asymmetry of propellant mechanical properties on the structural integrity of a Nitrate Ester Plasticized Polyether (NEPE) propellant grain, the unified constitutive equations under tension and compression were established, a new method for grain structural integrity assessment was proposed and the structural integrity of the NEPE propellant grain under the combined axial and transverse overloads was evaluated. The results indicate that the mechanical state of the NEPE propellant grain is in the coexistence of tension and compression under the combined axial and transverse overloads, and the tension and compression regions in the propellant grain is independent of the propellant constitutive behavior. The tension–compression asymmetry of the propellant mechanical properties has a certain impact on its mechanical response. The maximum equivalent stress and strain considering the tension–compression asymmetry falls between that obtained through the tension and compression constitutive model, and is the same as damage coefficient. The safety factor of the NEPE propellant grain considering the tension–compression asymmetry of its mechanical properties is larger than that non-considering, and the traditional method of structural integrity assessment is conservative.

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Section: Numerical Methods For Tension-compression Asymmetrymentioning

confidence: 99%

Structural Integrity Assessment of an NEPE Propellant Grain Considering the Tension–Compression Asymmetry in Its Mechanical Property

et al. 2023

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“…Recently, 3D tension-compression asymmetric damage model for fibrereinforced materials was introduced in [9], where the damage initiation criterion is defined based on a sign of individual stress components or a sign of two stress components sum. For modelling nonlinear material response in large deformations, the hyperelastic approach was used in [10,11], where asymmetry was implemented with the dependency of constitutive parameters based on signs of principal strain or main stress components. Another approach for modelling material asymmetry was introduced in [12,13], where stress triaxiality dependency was implemented in a linear anisotropic model with an additional term to model polymer matrix nonlinear response.…”

Section: Nonlinear Elastic Stress Triaxiality Dependent Constitutive ...mentioning

confidence: 99%

Nonlinear elastic stress triaxiality dependent constitutive model for fibre-reinforced polymer composites

Obid

2023

Materials Research Proceedings

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Abstract. A novel constitutive model is proposed to describe fibre-reinforced polymer composite materials. The model covers three fundamental phenomena of such materials: anisotropy, tension-compression asymmetry, and nonlinear material behaviour. The model is based on the one-dimensional Ramberg-Osgood relation, which is extended to a multiaxial anisotropic form. Tension-compression asymmetry is then implemented with the introduction of stress triaxiality dependency. Finally, the model is verified using experimental data where the material response in uniaxial tension, uniaxial compression and shear stress states were measured.

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“…so stress rate forms below are included just to facilitate the reader comparisons with other infinitesimal formulations. For the finite case, or for infinitesimal bi-modulus materials [35], direct hyperelastic relations are more convenient.…”

Section: Dissipation Inequalitymentioning

confidence: 99%

Thermodynamically consistent nonlinear viscoplastic formulation with exact solution for the linear case and well-conditioned recovery of the inviscid one

et al. 2021

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In this work, a consistent viscoplasticity formulation is derived from thermodynamical principles and employing the concept of continuum elastic corrector rate. The proposed model is developed based on the principle of maximum viscoplastic dissipation for determining the flow direction. The model uses both the equivalent viscoplastic strain and its rate as state variables. Power balance and energy balance give, respectively, separate evolution equations for the equivalent viscoplastic strain rate and the viscoplastic strain, the former written in terms of inviscid rates. Several key points distinguish our formulation from other proposals. First, the viscoplastic strain rate (instead of a yield function) consistently distinguishes conservative from dissipative behaviours during reverse loading; and the discrete implicit integration algorithm is an immediate implementation of the continuum theory based on the mentioned principles. Second, the inviscid solution is recovered in a well-conditioned manner by simply setting the viscosity to zero. Indeed, inviscid plasticity, viscoelasticity and viscoplasticity are particular cases of our formulation and integration algorithm, and are recovered just by setting the corresponding parameters to zero (viscosity or yield stress). Third, the linear viscoplasticity solution is obtained in an exact manner for proportional loading cases, independently of the time step employed. Four, general nonlinear models (Perzyna, Norton, etc) may be immediately incorporated as particular cases both in the theory and the computational implementation.

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Bi-modulus materials consistent with a stored energy function: Theory and numerical implementation

Cited by 20 publications

References 55 publications

Structural Integrity Assessment of an NEPE Propellant Grain Considering the Tension–Compression Asymmetry in Its Mechanical Property

Structural Integrity Assessment of an NEPE Propellant Grain Considering the Tension–Compression Asymmetry in Its Mechanical Property

Nonlinear elastic stress triaxiality dependent constitutive model for fibre-reinforced polymer composites

Thermodynamically consistent nonlinear viscoplastic formulation with exact solution for the linear case and well-conditioned recovery of the inviscid one

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