The Finite Element Method in Thermomechanics

Hsu, Tai-Ran

doi:10.1007/978-94-011-5998-2

Cited by 73 publications

(30 citation statements)

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“…Each of the sub-tasks may be assigned to a different processor (processor core), whereas for distributed computing,a communication method between individual processes run on various computer systems is needed. The commercially available computer applications for the modelling of crystallisation processes are mostly based on the Finite Element Method [5,6], the FEM can also be used for modelling microstructure and heat treatment process [7]. There are a few systems in the market for modelling the continuous casting of steel: -ProCAST (ESI) for Windows and Linux OS [8], -THERCAST (Transvalor) for Windows and Linux OS [9,10,], -FLOW-3D Cast (Flow Science Inc.) for Windows OS [11], -CC Master (Expresslab) [12].…”

Section: Parallel Processingmentioning

confidence: 99%

Improving Efficiency of CCS Numerical Simulations Through Use of Parallel Processing

Konopka¹,

Miłkowska-Piszczek²,

Trębacz³

et al. 2015

Archives of Metallurgy and Materials

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The study presents the findings of research concerning the possibilities for application of parallel processing in order to reduce the computing time of numerical simulations of the steel continuous casting process. The computing efficiency for a CCS model covering the mould and a strand fragment was analysed. The calculations were performed with the ProCAST software package using the finite element method. Two computing environments were used: the PL-Grid infrastructure and cloud computing platform.Keywords: continuous casting of steel, efficiency of numerical calculations, numerical modelling, ProCAST W pracy przedstawiono wyniki badań dotyczących możliwości zastosowania przetwarzania równoległego w celu skrócenia czasu trwania obliczeń numerycznych symulacji procesu ciągłego odlewania stali. Przeanalizowano wydajność obliczeń dla modelu COS obejmującego krystalizator i fragment pasma. Obliczenia przeprowadzono przy pomocy pakietu oprogramowania ProCAST w oparciu o metodę elementów skończonych. Wykorzystano dwa środowiska obliczeniowe: infrastrukturę PL-Grid i chmurę obliczeniową.

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Section: Parallel Processingmentioning

confidence: 99%

Improving Efficiency of CCS Numerical Simulations Through Use of Parallel Processing

Konopka¹,

Miłkowska-Piszczek²,

Trębacz³

et al. 2015

Archives of Metallurgy and Materials

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“…On the other hand, the total thermo elastic-plastic strain increment in each fiber can be expressed as (10) where { } When the isotropic hardening scheme is considered, the thermo elastic plastic constitutive equation can be expressed by [7] {…”

Section: { }mentioning

confidence: 99%

Fiber Beam Element Model for the Collapse Simulation of Concrete Structures under Fire

Chen

Ren

et al. 2007

Computational Mechanics

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In order to analyze and simulate the collapse of reinforced concrete (RC) elements under fire, a novel numerical model based on the fiber beam model is proposed in this paper. By dividing the cross section of beam element into many small concrete and steel fibers and assigning different materials to each fiber, this model can consider the non-uniform temperature distribution across the section and simulate the behavior of cracking or crushing for concrete and yielding for steel. The explicit tangential stiffness matrix is deduced for proposed fiber beam with Total Lagrangian (TL) description, and the incremental equilibrium equations are also established. Finally, the proposed fiber model is validated by comparing with various experimental results.

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“…The value of G corresponding to the crack growth of 0.005" can be determined as 150 MPa-mm from the G vs. crack growth curve, and the (G -27) ~ G is thus established because the magnitude of 3' for metals is much less than the crack driving force. Substituting oe, k and d into (12), the corresponding temperature rise at r = 0.1 mm, 0.01 mm and 0.001 mm were computed as 35°C, 226°C and 425°C, respectively. The temperature rises can thus cause the transition of the initial brittle to ductile fracture mode if the structure made of this steel was subjected to a high enough loading rate.…”

Section: Numerical Evaluation Of Tfcementioning

confidence: 99%

“…From this curve, the value G ~ 58 MPa-mm at the crack growth of 2.8 mm was obtained. By substituting c~ = 1.2 mm2/sec, k = 0.003 w/mm-K and b = 280 mm/sec into (12), the temperature rise as high as its melting point (1649°C) is computed in the region of 1 #m apart from the crack tip. The temperature rise at 10 #m away from the crack tip was dropped to 96°C.…”

Section: Numerical Evaluation Of Tfcementioning

confidence: 99%

“…177-182], have detailed the inherent path-independence of J-integral with an additional term for the presence of thermal effect.) The coupled thermoelastic-plastic theory can be described by the following expression [12,131 (kT, i),i -/3ijTogiej + D = pCvJL (2) It is reasonable to assume that the term D should also have a similar singularity at the crack tip because of its association with the stress field. It can be seen that D in (2) represents a heat source and the intensity of which has a significant effect on the resulting temperature field.…”

Section: Introductionmentioning

confidence: 99%

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Thermomechanical coupling effects on fractured solids

Sun¹,

Hsu

1996

Int J Fract

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An analytical model is presented to predict the temperature field induced in a fractured solid by mechanical loadings. The heat conduction equation used to compute the temperature field consists of three separate terms that account for the coupling effects. These are the thermoelastic, thermoplastic and thermofracture coupling terms. Finite element formulations were used for the numerical solutions of a case study. This case study involved experimental assessments of temperature rises near the tip of a stationary crack when subjected to an impact load that attempted to open the crack surfaces. Good correlations of analytical and experimental results were obtained. The measurable temperature rises in a fractured solid suggested that the coupling effect may be significant enough to influence the fracture characteristics of a solid; in particular, if the bulk temperature of the solid is close to the transition temperature from the brittle to ductile fracture mode or vice versa. Nomenclature a = thermal diffusivity bi = the ith component of body force B,, = partial differential operator matrix = crack growth rate C = the generalized damping matrix C~ = elasticity matrix Cep = elasto-plasticity matrix Cp = plasticity matrix CTT = the heat capacity matrix CTu = the thermomechanics coupling matrix Cv = specific heat at constant strain d = the generalized displacement vector D = plastic dissipation term, = (1 -A)a~j ~j D = the plastic dissipation matrix f = the generalized force vector G = the Irwin strain energy release rate, or shear modulus in Eqn. (a26) H' = material stiffness that is defined to be the slope of the flow curve of a material in the plastic region J = the Rice path-independent contour integral k = thermal conductivity k = thermal conductivity matrix K = the generalized damping matrix K~,u = the mechanical stiffness matrix KuT = the thermal coefficient matrix KTT = the conductivity matrix L~, = the mechanical load matrix M = the generalized mass matrix 68 N.S. Sun and T.R. Hsu Muu --the mass matrix Q : the thermal load matrix q = the surface heat flux matrix Qf : the crack growth dissipation matrix QT = the generalized force vector t = time T = temperature vector % = reference temperature u = x-displacement vector v = y-displacement vector Greek characters c~ = thermal expansion coefficient in (a23,a28), or the integral parameter in (a29) to (a39) flij = the thermal modulus tensor = the generalized thermal modulus matrix '7 = the reversible separation work of fracture surfaces in (3) "7 = the generalized thermal modulus matrix 5' = the thermal capacity created by coupling effect = the Dirac function in (3), or the integral parameter algorithm in (a29) to (a39) 0 = the parameter of collocation scheme of time integration algorithm in (a29) to (a39) A = the plastic dissipation parameter ~ij = the strain tensor O'ij = the stress tensor

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The Finite Element Method in Thermomechanics

Cited by 73 publications

References 0 publications

Improving Efficiency of CCS Numerical Simulations Through Use of Parallel Processing

Improving Efficiency of CCS Numerical Simulations Through Use of Parallel Processing

Fiber Beam Element Model for the Collapse Simulation of Concrete Structures under Fire

Thermomechanical coupling effects on fractured solids

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