Load identification for viscoplastic materials with some unknown material parameters

Kazemi, Z.; Hematiyan, M. R.; Shiah, Yui‐Chuin

doi:10.1016/j.ijmecsci.2019.01.045

Cited by 17 publications

(3 citation statements)

References 27 publications

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“…The relative errors at other strain rates and temperatures are small which demonstrate that the elastic-viscoplastic constitutive equations can describe accurately the stress-strain relationship of K439B nickel-based superalloy. (12) 5 Thermal stress simulation…”

Section: Verification Of Constitutive Equationsmentioning

confidence: 99%

“…The constitutive models used to describe the stress-strain relationship of alloys are mainly divided into three types: phenomenological model, physical model, and artificial neural network model [3][4][5] . The phenomenological model is widely employed due to the convenience of obtaining parameters from experimental data, including Johnson-Cook model [6][7][8] , Arrhenius model [9][10][11] , and Perzyna model [12,13] , etc. Perzyna [14] proposed an elastic-viscoplastic model based on theoretical research and experimental verification, which has been widely studied and applied [15,16] .…”

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confidence: 99%

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Elastic-viscoplastic constitutive equations of K439B superalloy and thermal stress simulation during casting process

Sui,

Shan,

Wang

et al. 2023

China Foundry

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K439B nickel-based superalloy is a new type of high-temperature material. There is insufficient research on its constitutive equations and numerical modeling of thermal stress. Isothermal tensile experiments of K439B superalloy at different temperatures (20 °C-1,000 °C) and strain rates (1.33×10 -3 s -1 -5.33×10 -3 s -1 ) were performed by using a Gleeble-3800 simulator. The elastic moduli at different temperatures (20 °C-650 °C) were measured by resonance method. Subsequently, stress-strain curves were measured for K439B superalloy under different conditions. The elastic-viscoplastic constitutive equations were established and the correspongding parameters were solved by employing the Perzyna model. The verification results indicate that the calculated values of the constitutive equations are in good agreement with the experimental values. On this basis, the influence of process parameters on thermal stress was investigated by numerical simulation and orthogonal experimental design. The results of orthogonal experimental design reveal that the cooling mode of casting has a significant influence on the thermal stress, while pouring temperature and preheating temperature of shell mold have minimal impact. The distribution of physical fields under optimal process parameters, determined based on the orthogonal experimental design results, was simulated. The simulation results determine separately the specific positions with maximum values for effective stress, plastic strain, and displacement within the casting. The maximum stress is about 1,000.0 MPa, the plastic strain is about 0.135, and the displacement is about 1.47 mm. Moreover, the distribution states of thermal stress, strain, and displacement are closely related to the distribution of the temperature gradient and cooling rate in the casting. The research would provide a theoretical reference for exploring the stress-strain behavior and numerical modeling of the effective stress of the alloy during the casting process.

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Section: Verification Of Constitutive Equationsmentioning

confidence: 99%

mentioning

confidence: 99%

Elastic-viscoplastic constitutive equations of K439B superalloy and thermal stress simulation during casting process

Sui,

Shan,

Wang

et al. 2023

China Foundry

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“…Thanks to the recent advances in computer technology, inverse analysis has become one of the most active fields of research in mechanical engineering. This topic covers a wide range of mechanical engineering issues including thermal problems, 1,2 structural dynamic analysis, 3,4 parameter identification of materials, 5,6 and also fracture mechanics. 7 In the direct analysis of fracture mechanics problems, the domain of the problem, the governing equations, the boundary and initial conditions, and the material properties of the body are known, and the goal of the problem is to obtain the displacement and stress fields.…”

Section: Introductionmentioning

confidence: 99%

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Liaghat

Khosravifard

Hematiyan

et al. 2021

Numerical Meth Engineering

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An efficient iterative inverse procedure is proposed for the identification of the distribution of loads that has led to a specific crack propagation path in a fractured component. This procedure determines the load applied to a part of the boundary based on the captured crack propagation path. The aim of this work, which is the first time to be presented, is important from the perspective of failure analysis, especially in the cases where it is not possible to directly measure the applied loading conditions. The inverse analysis requires the direct fracture mechanics problem to be solved for various boundary loading conditions. For each of the forward problems the meshfree radial point interpolation method, which is augmented with the background decomposition method for evaluation of domain integrals is employed. Using meshfree methods makes it possible to deal with the numerous direct problems, which appear in the formulation of the inverse problem, easily, accurately, and efficiently. The inverse problem of identification of the load distribution is formulated as an optimization problem. For solving the global minimization problem, a stochastic optimization method is used, in which the damped Gauss-Newton method is utilized as the local search algorithm. Through two example problems it is shown that the presented approach can be used effectively for the load identification of a component which has fractured along a specific path. K E Y W O R D S background decomposition method, fracture mechanics, inverse problem, load identification, meshfree method

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Distributed load identification for hyperelastic plates using gradient-based and machine learning methods

Khosrowpour,

Hematiyan

2024

Acta Mech

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Load identification for viscoplastic materials with some unknown material parameters

Cited by 17 publications

References 27 publications

Elastic-viscoplastic constitutive equations of K439B superalloy and thermal stress simulation during casting process

Elastic-viscoplastic constitutive equations of K439B superalloy and thermal stress simulation during casting process

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Distributed load identification for hyperelastic plates using gradient-based and machine learning methods

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