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Structural finite element analysis using material model with Prandtl operator approach

Fast and accurate simulations are a key feature of a modern R&D process. Although a physical prototype is finally tested to verify the project demands, design engineers usually have to rely on the results of simulations on virtual prototypes during the R&D process. Especially durability predictions of mechanical components which operate in the low-cycle fatigue regime of the material decisively depend on the simulation of their structural stress-strain behaviour as a response to the external loading of the structure [1]. In this paper, implementation of the Prandtl operator approach into the finite element method is first outlined. The method enables structural analyses of mechanical components which are loaded by variable mechanical and thermal loads during the operation [2,3,4].…
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Fast and accurate simulations are a key feature of a modern R&D process. Although a physical prototype is finally tested to verify the project demands, design engineers usually have to rely on the results of simulations on virtual prototypes during the R&D process. Especially durability predictions of mechanical components which operate in the low-cycle fatigue regime of the material decisively depend on the simulation of their structural stress-strain behaviour as a response to the external loading of the structure [1]. In this paper, implementation of the Prandtl operator approach into the finite element method is first outlined. The method enables structural analyses of mechanical components which are loaded by variable mechanical and thermal loads during the operation [2,3,4]. Hence, the temperature dependent stress-strain behaviour of the components can be simulated considering an elastoplastic cyclic response with multilinear kinematic hardening. A Ramberg-Osgood-type description of the stabilised cyclic stress-strain curve of the material requires a small number of material parameters which can be conveniently determined by standard low-cycle fatigue tests or incremental step tests at distinct test temperatures [1,4]. The key feature of the method is the computational power which enables time-efficient simulations of longer thermomechanical load histories. Next, the performance of the method is presented with a simple mechanical component exposed to a variable thermomechanical load history. It is shown that a full 3D stress-strain tensor can be traced throughout the loading history considering both the temperature dependency of the material properties and the cyclic behaviour of the material.

[1] Šeruga et al. Durability prediction of EN 1.4512 exhaust mufflers under thermomechanical loading, International Journal of Mechanical Sciences 84 (2014) 199-207

[2] Bartošák et al. Life assessment of a 42CrMo4 steel under low-cycle fatigue and thermo-mechanical fatigue loading conditions, International Journal of Fatigue 129 (2019) 105255

[3] Dondapati et al. Investigation on the mechanical stresses in a muffler mounting bracket using Root Cause Failure Analysis (RCFA), finite element analysis and experimental validation, Engineering Failure Analysis 81 (2017) 145-154

[4] Nagode et al. Damage operator-based lifetime calculation under thermomechanical fatigue and creep for application on Uginox F12T EN 1.4512 exhaust downpipes, Strain 48(3) (2012) 198-207

Reference
LCF9-2022-050

Title
Structural finite element analysis using material model with Prandtl operator approach
Author(s)
D. Šeruga, J. Klemenc, S. Oman, M. Nagode
DOI
10.48447/LCF9-2022-050
Event
LCF9 - Ninth International Conference on Low Cycle Fatigue
Year of publication
2022
Publication type
conference paper (PDF)
Language
English
Keywords
stress-strain modelling,elastoplastic response,Prandtl operator approach,finite element analysis