A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials

Homsi, Lina; Noels, Ludovic

doi:10.1007/s11012-017-0743-9

Cited by 6 publications

(4 citation statements)

References 70 publications

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“…Source: [17][18][19][20] The input data used in the thermal model are shown in Table 2. It should be noted that the main parameters such as elastic modulus were obtained from the study by [17].…”

Section: Tabela 1 Input Data In Abaqus For the Numerical Model Of Mor...mentioning

confidence: 99%

“…Some data were obtained from the literature such as thermal expansion of carbon fibers and thermal conductivity. Source: [21][22][23][24][25][26][27][28] Figure 4 shows the numerical model created in Abaqus for thermomechanical analysis of mortar reinforced with carbon fibers. Figure 5 shows the enlargement in the region of the crack insertion in the model; the translucent image makes it possible to visualize the arrangement of the fibers in the bidirectional configuration.…”

Section: Tabela 1 Input Data In Abaqus For the Numerical Model Of Mor...mentioning

confidence: 99%

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Numerical study of mortar reinforced with carbon fibers: a decoupled thermomechanical model to obtain the stress intensity factor

Sousa,

Macedo

2023

Preprint

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Background Mortar is a building material with low tensile strength e fracture resistance. One method for improving these characteristics is to include synthetic fibers, such as carbon fibers, into the matrix. Materials and methods A thermomechanical numerical model for mortar reinforced with carbon fibers was created based on an experiment in the literature, where it was calibrated and validated. From this, damage mechanics were analyzed using XFEM; the material's stress intensity factor at 20°C, 250°, and 350°C were analyzed using FEM. Results The results for the numerical model using XFEM agree with the experiment. Regarding the Stress intensity factor, the highest value found was for room temperature, and the lowest was for 250°C. Conclusion The numerical methods presented can be used in thermomechanical models in mortar reinforced with carbon fibers, and the intensity factor behaves non-linearly with temperature change.

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Section: Tabela 1 Input Data In Abaqus For the Numerical Model Of Mor...mentioning

confidence: 99%

Section: Tabela 1 Input Data In Abaqus For the Numerical Model Of Mor...mentioning

confidence: 99%

Numerical study of mortar reinforced with carbon fibers: a decoupled thermomechanical model to obtain the stress intensity factor

Sousa,

Macedo

2023

Preprint

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“…Electro-magneto-mechanical models using electrostatic and magnostatic formulations have been developed for magneto-sensitive composites and magneto-electro-elastic composites (e.g., electro active polymers ) in large deformations [26,27,28]. In [29], the discontinuous Galerkin method was used to solve the electro-thermo-mechanical problem in a SMP by solving an electrokinetic problem excited by surface currents. For a more effective contactless control, the multiphysics problem should include eddy currents and hysteretic losses as a means of controlling the temperature.…”

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of nonlinear electro-thermo-mechanical continua with application to shape memory polymeric medical devices

Niyonzima

Jiao

Fish

2019

Computer Methods in Applied Mechanics and Engineering

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Shape memory materials have gained considerable attention thanks to their ability to change physical properties when subjected to external stimuli such as temperature, pH, humidity, electromagnetic fields, etc. These materials are increasingly used for a large number of biomedical applications. For applications inside the human body, contactless control can be achieved by the addition of electric and/or magnetic particles that can react to electromagnetic fields, thus leading to a composite biomaterial. The difficulty of developing accurate numerical models for smart materials results from their multiscale nature and from the multiphysics coupling of involved phenomena. This coupling involves electromagnetic, thermal and mechanical problems. This paper contributes to the multiphysics modeling of a shape memory polymer material used as a medical stent. The stent is excited by electromagnetic fields produced by a coil which can be wrapped around a failing organ. In this paper we develop large deformation formulations for the coupled electro-thermo-mechanical problem using the electric potential to solve the electric problem. The formulations are then discretized and solved using the finite element method. Results are validated by comparison with results in the literature.The increase of life expectancy creates a need to maintain the functions of 2 aging organs to allow greater independence for the elderly. Biomaterial implants 3 have the potential to fulfill some of these functions. The total number of im-4 plants in the world exceeds four hundred million per year and grows every year 5 [1]. Biomaterials are also increasingly used for a large number of biomedical ap-6 plications such as the prevention and cure of coronary heart disease and stroke, 7 as well as ophthalmological applications, biosensors and drug delivery systems 8 [2, 3]. They have the potential to contribute to the reduction of the cost of 9 health and the improvment of the life conditions. 10 Among biomaterials, shape memory materials have gained considerable at-11 tention in the biomedical community thanks to their ability to change physical 12 properties (morphing, structural rigidity, refractive index, etc.) when subjected 13to external stimuli such as temperature, pH, humidity, electromagnetic fields, 14 etc. This special behavior results from the the shape memory effect observed 15 in shape memory materials [4]. They are used in minimally invasive surgery as 16 embolic devices to treat aneurysm [5, 6] and as vascular stents [7, 8, 9]. Fig-17 ure 1 illustrate the deployment of a stent in a blood vessel. They can also be 18 used as portable sensors to monitor heart and respiratory rates and in con-19 trolled drug delivery systems thus allowing to reduce the side effects of drugs 20 [11, 12]. For these different uses, biomaterials must possess a number of prop-21 erties. They must be biocompatible to avoid toxicity in contact with biological 22 tissues. Biodegradability is a desirable property for temporary implants, and 23 for minimally invasiv...

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“…Contributions address the numerical modeling of material behaviors, i.e., reinforced concrete [14,15,17], composites [1], and shape memory alloys [9], or the numerical simulation of structures, e.g., thin shells [5] and beams [7,10,14,17]. Some of the papers discuss the treatment of multiscale behaviors [4], homogenization techniques [1,6,8], or shape optimization [17].…”

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confidence: 99%

Preface to: Novel computational approaches to old and new problems in mechanics

2018

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A discontinuous Galerkin method for non-linear electro-thermo-mechanical problems: application to shape memory composite materials

Cited by 6 publications

References 70 publications

Numerical study of mortar reinforced with carbon fibers: a decoupled thermomechanical model to obtain the stress intensity factor

Numerical study of mortar reinforced with carbon fibers: a decoupled thermomechanical model to obtain the stress intensity factor

Modeling and simulation of nonlinear electro-thermo-mechanical continua with application to shape memory polymeric medical devices

Preface to: Novel computational approaches to old and new problems in mechanics

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