A finite element model of shape memory polymer composite beams for space applications

Bergman, D.; Yang, Bíngen

doi:10.1002/nme.4915

Cited by 12 publications

(5 citation statements)

References 45 publications

(73 reference statements)

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“…Damanpack et al 42 proposed a finite element method for contact/impact analysis of SMP beams based on nonlinear Green strain, according to the established 3D phenomenological constitutive model. Bergman et al 43 developed a macroscopic model of SMP structures, and based on this, they established a quasi-static beam model that incorporates the nonlinear geometrical effects of beam deflection and temperature-related constitutive law of SMP materials.…”

Section: Introductionmentioning

confidence: 99%

Theoretical solutions of short glass fiber/polyurethane composite beams based on Hamiltonian principle

Zhao,

Zhou,

Zhu

et al. 2023

Polymer Composites

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Shape memory polymers (SMP) and its composites (SMPC) have gained popularity for their potential in intelligent structures fields. Developing a reliable mechanical model to accurately describe mechanical behavior of its intelligent structures is important for both theory and practice. This paper presents a novel mechanical model for describing the mechanical behavior of short glass fiber/polyurethane (GF/PU) composite beams, based on a constitutive model of SMP and incorporating principles from composite mechanics theory, the Hamiltonian principle and Euler–Bernoulli beam theory. The model includes kinematic equations and material parameter equations. Based on the constitutive equations of SMP, coupled with Euler–Bernoulli beam theory and Hamilton's principle, the kinematic equations of GF/PU composite beam are established. Additionally, a correction factor was proposed and employed to modify the material parameter equation of SMP, which was then combined with the mechanics theory of composite materials to establish a material parameter equation for composite beams. Taking a simply supported beam as an example, we solve the model using Fourier method and simulate and analyze the material parameters properties, static and viscous mechanical behaviors properties, and shape memory behavior properties of the GF/PU composite beam. The results show that the GF volume fraction, temperature correction coefficient, regularization parameter, and contact parameter have a significant impact on the material parameters of GF/PU composite materials and the material parameters of composite beams have important effects on their mechanical properties. By adjusting material parameters, ideal mechanical properties can be obtained for the GF/PU composite beam. This study provides a theoretical foundation for intelligent beam design and analysis based on SMP and SMPC.Highlights A novel viscoelastic mechanical model for GF/PU composite beam is proposed. Effect of composite components on GF/PU composite is studied. Kinematic equations based on Hamiltonian principle is established. Material parameter equation including corrected parameter is established.

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Section: Introductionmentioning

confidence: 99%

Theoretical solutions of short glass fiber/polyurethane composite beams based on Hamiltonian principle

Zhao,

Zhou,

Zhu

et al. 2023

Polymer Composites

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“…Baghani [ 32 ] developed a constitutive three-dimensional model for particle-reinforced SMPC, while Nishikawa et al [ 33 ] constructed a finite element model to investigate the impact of short fibers on the shape memory properties of SMPC. Bergman and Yang [ 34 ] built a finite element beam model to simulate the shape fixation rate of continuous fiber-reinforced SMPC.…”

Section: Introductionmentioning

confidence: 99%

Four-Dimensionally Printed Continuous Carbon Fiber-Reinforced Shape Memory Polymer Composites with Diverse Deformation Based on an Inhomogeneous Temperature Field

Wang,

Zhang,

et al. 2023

Polymers

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Four-dimensionally printed continuous carbon fiber-reinforced shape memory polymer composite (CFSMPC) is a smart material with the ability to bear loads and undergo deformation. The deformation of CFSMPC can be driven by the electrothermal effect of carbon fibers. In this study, the effect of temperature on the shape memory recovery performance of polylactic acid (PLA) was first studied experimentally. Continuous carbon fibers were incorporated into PLA to design CFSMPCs with thickness gradients and hand-shaped structures, respectively. The distribution strategy of the carbon fibers was determined based on simulations of the electrically driven shape recovery process of the aforementioned structures. Both the simulations and experiments demonstrated that the electrification of the CFSMPC structures resulted in an inhomogeneous temperature field, leading to distinct deformation recovery processes. Eventually, a precise unfolding was achieved for the thickness gradient structure and the five fingers in the hand-shaped structure by utilizing a safe voltage of 6 V. This demonstrates that the 4D-printed CFSMPC with diverse deformations based on an inhomogeneous temperature field has potential applications in actuators, reconfigurable devices, and other fields.

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“…39 This model was extended to be a quasi‐static model of an SMPC cantilever beam by a rule‐of‐mixtures approach. 40,41 Chen and Lagoudas 42,43 developed a large deformation model and a linear form for small strain cases. Li et al 44 improved this model by introducing time as a factor and predicted the SME of two materials under traction-free and constrained strain conditions.…”

Section: Introductionmentioning

confidence: 99%

“…46 Shape recovery of beams has been simulated by FEM considering temperature and strain effects. [37][38][39][40] The other SMP structures such as stents, 47,48 springs, 49 and pipes 50 have also been simulated with finite element analysis using multi-phase models or thermoviscoelastic models.…”

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confidence: 99%

Shape recovery of polymers with inclusions under multi-axial stress

Liu

Pochiraju

2022

Journal of Thermoplastic Composite Materials

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This paper presents a two-phase composite model for predicting the shape memory and recovery behaviors of polymeric and particle-loaded polymeric composite parts. The shape recovery behavior is simulated using a homogenized material model with the matrix exhibiting the strain storage behavior and the inclusions adding to the stiffness and conductivity of the material. An electrically conductive reinforcement in the matrix enabled the activation of shape recovery with Joule heating. The shape recovery model for the matrix is adapted from literature and extended to include a three-dimensional stress state. Inclusions are assumed linearly elastic, and the matrix is elastic at the low-temperature glassy phase and elastic-incompressible at the high-temperature rubbery phase. The incompressibility is modeled using a temperature-dependent Poisson’s ratio that approaches close to 0.5 for the rubbery phase. A methodology for characterizing model parameters from experimental observations of shape recovery is also discussed. Correlations with experimental observations calibrate the model as well as validate it. The formulated two-phase shape recovery model was implemented into the 3D nonlinear finite element analysis. Simulations of shape recovery arbitrarily shaped 3D parts under multi-axial stress states and thermo-mechanical loading cycles are described.

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A finite element model of shape memory polymer composite beams for space applications

Cited by 12 publications

References 45 publications

Theoretical solutions of short glass fiber/polyurethane composite beams based on Hamiltonian principle

Theoretical solutions of short glass fiber/polyurethane composite beams based on Hamiltonian principle

Four-Dimensionally Printed Continuous Carbon Fiber-Reinforced Shape Memory Polymer Composites with Diverse Deformation Based on an Inhomogeneous Temperature Field

Shape recovery of polymers with inclusions under multi-axial stress

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