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Keywords: memory-dependent derivative
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Journal Articles

Heat Transfer Analysis of Memory-Dependent Derivative in Biological Tissue Subjected to a Moving Heat Source

Xiaoya Li, Dan Wang
Journal: ASME Journal of Heat and Mass Transfer
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. August 2024, 146(8): 081201.
Paper No: HT-23-1422
https://doi.org/10.1115/1.4065169
Published Online: April 22, 2024
...Xiaoya Li; Dan Wang A new bioheat transfer equation is developed by introducing the memory-dependent derivative into dual-phase lag model. The heat transfer process of memory-dependent derivative in biological tissue under a moving heat source is studied. Besides, thermal conductivity is usually...
View Article titled, Heat Transfer Analysis of <span class="search-highlight">Memory</span>-<span class="search-highlight">Dependent</span> <span class="search-highlight">Derivative</span> in Biological Tissue Subjected to a Moving Heat Source
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Topics: Biological tissues, Heat, Heat transfer, Temperature, Thermal conductivity, Relaxation (Physics), Laplace transforms, Bioheat transfer
Journal Articles

Temperature-Rate-Dependent Thermoelasticity Theory With Memory-Dependent Derivative: Energy, Uniqueness Theorems, and Variational Principle

Biswajit Singh, Indranil Sarkar, Smita Pal (Sarkar)
Journal: ASME Journal of Heat and Mass Transfer
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. October 2020, 142(10): 102103.
Paper No: HT-20-1024
https://doi.org/10.1115/1.4047510
Published Online: July 16, 2020
...Biswajit Singh; Indranil Sarkar; Smita Pal (Sarkar) This article is focused on developing a new mathematical model on the temperature-rate-dependent thermoelasticity theory (Green–Lindsay), using the methodology of memory-dependent derivative (MDD). First, the energy theorem of this model...
View Article titled, Temperature-Rate-Dependent Thermoelasticity Theory With <span class="search-highlight">Memory</span>-<span class="search-highlight">Dependent</span> <span class="search-highlight">Derivative</span>: Energy, Uniqueness Theorems, and Variational Principle
Open the PDF for Temperature-Rate-Dependent Thermoelasticity Theory With <span class="search-highlight">Memory</span>-<span class="search-highlight">Dependent</span> <span class="search-highlight">Derivative</span>: Energy, Uniqueness Theorems, and Variational Principle in another window
Topics: Temperature, Theorems (Mathematics), Thermoelasticity, Variational principles
Journal Articles

A Generalized Magneto-Thermoviscoelastic Problem of a Single-Layer Plate for Vibration Control Considering Memory-Dependent Heat Transfer and Nonlocal Effect

Yeshou Xu, Zhao-Dong Xu, Ying-Qing Guo, Yaorong Dong, Xinghuai Huang
Journal: ASME Journal of Heat and Mass Transfer
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. August 2019, 141(8): 082002.
Paper No: HT-18-1741
https://doi.org/10.1115/1.4044009
Published Online: July 3, 2019
...-elastic coupling environment. In this work, a one-dimensional magneto-thermoviscoelastic problem of a single-layer viscoelastic plate is investigated with memory-dependent derivative and nonlocal effect in the context of generalized thermo-elasticity. The plate is placed in a magnetic field, and the upper...
View Article titled, A Generalized Magneto-Thermoviscoelastic Problem of a Single-Layer Plate for Vibration Control Considering Memory-Dependent Heat Transfer and Nonlocal Effect
Open the PDF for A Generalized Magneto-Thermoviscoelastic Problem of a Single-Layer Plate for Vibration Control Considering Memory-Dependent Heat Transfer and Nonlocal Effect in another window
Topics: Delays, Displacement, Magnetic fields, Stress, Temperature, Vibration control, Heat transfer, Thermoelasticity, Laplace transforms