Natural frequency analysis of shells of revolution based on hybrid dual-mixed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si46.svg"><mml:mrow><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math>-finite element formulation

Tóth, Balázs

doi:10.1016/j.apm.2021.06.001

Cited by 4 publications

(1 citation statement)

References 53 publications

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“…In this section, new hp-FEMs will be presented for the numerical solution of the MCV-and the GK model which are based on two-field mixed variational formulations, see some similar procedures in [20,21,22].…”

Section: Two-field Mixed Hp-version Finite Element Methodsmentioning

confidence: 99%

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Tóth¹,

Molnár²,

Kovács³

2022

Preprint

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Thanks to modern manufacturing technologies, heterogeneous materials with complex inner structures (e.g., foams) can be easily produced. However, their utilization is not straightforward, as the classical constitutive laws are not necessarily valid. According to various experimental observations, the Guyer-Krumhansl equation stands as a promising candidate to model such complex structures. However, the practical applications need a reliable and efficient algorithm that is capable of handling both complex geometries and advanced heat equations. In the present paper, we present the development of a hp-type finite element technique, which can be reliably applied. We investigate its convergence properties for various situations, being challenging in relation to stability and the treatment of fast propagation speeds. That algorithm is also proved to be outstandingly efficient, providing solutions four magnitudes faster than commercial algorithms.

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Section: Two-field Mixed Hp-version Finite Element Methodsmentioning

confidence: 99%

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Tóth¹,

Molnár²,

Kovács³

2022

Preprint

Self Cite

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Investigation of the Vibrational Behavior of a Quarter-Car Model

Rónai

2022

Vehicle and Automotive Engineering 4

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Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Tóth,

Molnár,

Kovács

2024

Continuum Mech. Thermodyn.

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Modern manufacturing technologies allow heterogeneous materials with complex inner structures (e.g., foams) to be easily produced. However, their utilization is not straightforward, as the classical constitutive laws are not necessarily valid. According to various experimental observations, the Guyer–Krumhansl equation is a promising candidate for modeling such complex structures. However, practical applications need a reliable and efficient algorithm capable of handling both complex geometries and advanced heat equations. In the present paper, we derive new two-field variational formulations which treat the temperature and the heat flux as independent field variables, and we develop new, advanced hp-type mixed finite element methods, which can be reliably applied. We investigate their convergence properties for various situations, challenging in relation to stability and the treatment of fast propagation speeds. That algorithm is also proved to be outstandingly efficient, providing solutions four magnitudes faster than commercial algorithms.

show abstract

Natural frequency analysis of shells of revolution based on hybrid dual-mixed hp-finite element formulation

Cited by 4 publications

References 53 publications

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Investigation of the Vibrational Behavior of a Quarter-Car Model

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

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