An efficient finite strain constitutive model for amorphous thermoplastics: Fully implicit computational implementation and optimization-based parameter calibration

Ferreira, Bernardo P.; Alves, A. Francisca Carvalho; Pires, F.M. Andrade

doi:10.1016/j.compstruc.2023.107007

Cited by 9 publications

(3 citation statements)

References 62 publications

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“…The parameters a∼0.2,

∼0.015,

∼9 MPa, and B ∼0.7, were defined above, whereas the remaining parameters are more complicated because they are related to the intrinsic development of the high-cycle damage ( K ∼

, L ∼

), backstress

( C ∼1) [ 28 ], and deformation history of the low-cycle damage (

). These parameters can be determined using a heuristic (trial-and-error) iteration, clustering of scattered parameters [ 63 ], least-squares fitting, or an optimization procedure [ 7 , 21 , 64 ]. Then, however, parameters do not have a clear physical or mechanical interpretation, and they may show different optimal values depending on the applied object function.…”

Section: Theory-modelingmentioning

confidence: 99%

“…3), backstress α (C∼1) [28], and deformation history of the low-cycle damage ( L, κ). These parameters can be determined using a heuristic (trial-and-error) iteration, clustering of scattered parameters [63], least-squares fitting, or an optimization procedure [7,21,64]. Then, however, parameters do not have a clear physical or mechanical interpretation, and they may show different optimal values depending on the applied object function.…”

Section: Constitutive Model Parametersmentioning

confidence: 99%

See 1 more Smart Citation

Prediction of Short- to Long-Term Cyclic Deformation Behavior and Fatigue Life of Polymers

Barriere,

Carbillet,

Gabrion

et al. 2024

Polymers

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The prediction of mechanical behavior and fatigue life is of major importance for design and for replacing costly and time-consuming tests. The proposed approach for polymers is a combination of a fatigue model and a governing constitutive model, which is formulated using the Haward–Thackray viscoplastic model (1968) and is capable of capturing large deformations. The fatigue model integrates high- and low-cycle fatigue and is based on the concept of damage evolution and a moving endurance surface in the stress space, therefore memorizing the load history without requesting vague cycle-counting approaches. The proposed approach is applicable for materials in which the fatigue development is ductile, i.e., damage during the formation of microcracks controls most of the fatigue life (up to 90%). Moreover, damage evolution shows a certain asymptote at the ultimate of the low-cycle fatigue, a second asymptote at the ultimate of the high-cycle fatigue (which is near zero), and a curvature of how rapidly the transition between the asymptotes is reached. An interesting matter is that similar to metals, many polymers satisfy these constraints. Therefore, all the model parameters for fatigue can be given in terms of the Basquin and Coffin–Manson model parameters, i.e., satisfying well-defined parameters.

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“…The parameters a∼0.2,

∼0.015,

∼9 MPa, and B ∼0.7, were defined above, whereas the remaining parameters are more complicated because they are related to the intrinsic development of the high-cycle damage ( K ∼

, L ∼

), backstress

( C ∼1) [ 28 ], and deformation history of the low-cycle damage (

Section: Theory-modelingmentioning

confidence: 99%

Section: Constitutive Model Parametersmentioning

confidence: 99%

Prediction of Short- to Long-Term Cyclic Deformation Behavior and Fatigue Life of Polymers

Barriere,

Carbillet,

Gabrion

et al. 2024

Polymers

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show abstract

“…These comprehensive studies, covering a wide range of strain rates and temperatures, offer valuable insights for designing products suited to various operational conditions [21]. Several constitutive models [22][23][24][25][26] have been developed to predict the deformation behavior of polymers under large strains, incorporating both strain softening and strain hardening characteristics. These models establish a constitutive relationship where stress is not solely dependent on strain but is also influenced by strain rate and temperature, as they are derived from compression tests conducted at different strain rates and temperatures.…”

Section: Introductionmentioning

confidence: 99%

Simulation of the Dynamic Responses of Layered Polymer Composites under Plate Impact Using the DSGZ Model

Zhang,

Rajendran,

Shukla

et al. 2024

J. Compos. Sci.

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This paper presents a numerical study on the dynamic response and impact mitigation capabilities of layered ceramic–polymer–metal (CPM) composites under plate impact loading, focusing on the layer sequence effect. The layered structure, comprising a ceramic for hardness and thermal resistance, a polymer for energy absorption, and a metal for strength and ductility, is analyzed to evaluate its effectiveness in mitigating the impact loading. The simulations employed the VUMAT subroutine of DSGZ material models within Abaqus/Explicit to accurately represent the mechanical behavior of the polymeric materials in the composites. The VUMAT implementation incorporates the explicit time integration scheme and the implicit radial return mapping algorithm. A safe-version Newton–Raphson method is applied for numerically solving the differential equations of the J2 plastic flow theory. Analysis of the simulation results reveals that specific layer configurations significantly influence wave propagation, leading to variations in energy absorption and stress distribution within the material. Notably, certain layer sequences, such as P-C-M and C-P-M, exhibit enhanced impact mitigation with a superior ability to dissipate and redirect the impact energy. This phenomenon is tied to the interactions between the material properties of the ceramic, polymer, and metal, emphasizing the necessity of precise material characterization and enhanced understanding of the layer sequencing effect for optimizing composite designs for impact mitigation. The integration of empirical data with simulation methods provides a comprehensive framework for optimizing composite designs in high-impact scenarios. In the general fields of materials science and impact engineering, the current research offers some guidance for practical applications, underscoring the need for detailed simulations to capture the high-strain-rate dynamic responses of multilayered composites.

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Efficient constitutive parameter identification through optimisation-based techniques: A Comparative analysis and novel composite Bayesian optimisation strategy

Cardoso Coelho,

Carvalho Alves,

Andrade Pires

2024

Computer Methods in Applied Mechanics and Engineering

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An efficient finite strain constitutive model for amorphous thermoplastics: Fully implicit computational implementation and optimization-based parameter calibration

Cited by 9 publications

References 62 publications

Prediction of Short- to Long-Term Cyclic Deformation Behavior and Fatigue Life of Polymers

Prediction of Short- to Long-Term Cyclic Deformation Behavior and Fatigue Life of Polymers

Simulation of the Dynamic Responses of Layered Polymer Composites under Plate Impact Using the DSGZ Model

Efficient constitutive parameter identification through optimisation-based techniques: A Comparative analysis and novel composite Bayesian optimisation strategy

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