Theory of Fractional Order Generalized Thermoelasticity

By Hamdy M. Youssef. 2010

441 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/ec5532dd01cb0b7028237f4ce4434cf7a3f7e9b8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

1. M. Bachher
2. Mohsen Fayik
3. Marin Marin
4. Ibrahim Atiatallah Abbas
5. Y. Yu
6. Xinran Liu
7. Magdy A. Ezzat
8. Nantu Sarkar

In Mechanics of Materials

1. Mohsen Fayik
2. Ibrahim Atiatallah Abbas
3. X. Tian
4. Y. Yu
5. Aatef Hobiny
6. M. Bachher
7. Nantu Sarkar
8. Xinran Liu

In Modeling and Simulation

1. Mohsen Fayik
2. Y. Yu
3. Ibrahim Atiatallah Abbas
4. X. Tian
5. Xinran Liu
6. M. Bachher
7. Nantu Sarkar
8. Marin Marin

Citations in the corpus

• Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer (2019, background): “In the last few years, fractional calculus has been successfully applied to extend generalized thermoelasticity theories to fractional order generalized thermoelasticity by Bachher et al. [33,34], Povstenko [35,36], Sherief [37], Youssef [38], Ezzat and his co-workers [39–43] etc. Rossikhin and Shit”
• On fractional thermoelasticity (2011, neutral): “[30] Youssef, HM. Theory of fractional order generalized thermoelasticity.”
• Fractional Order Theory of Thermoelastic Diffusion (2011, background): “Youssef [35] introduced another new model of fractional heat conduction equation, proved a uniqueness theorem and presented one-dimensional application.”
• Generalized thermoelastic interaction in functional graded material with fractional order three-phase lag heat transfer (2015, methodology): “[9] YOUSSEF H H. Theory of fractional order generalized thermoelasticity [J].”
• The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method (2021, methodology): “Youssef, H. Theory of generalized porothermoelasticity.”
• Size-dependent generalized thermoelasticity using Eringen's nonlocal model (2015, background): “Recently, inspired by fractional calculus increasing investigation, especially, its successful application in anomalous diffusion, generalized thermoelasticity models have been further extended into fractional ones (Povstenko, 2004; Youssef, 2010; Ezzat, 2011; Yu et al., 2013) to express memory-depe”