Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (3): 423-446.doi: https://doi.org/10.1007/s10483-025-3230-9
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Mengru ZHANG1,2, Mingzhu XU1,2, Weiting CHEN1,2,†(
), Yapu ZHAO1,2
Email Alert
RSSReceived:2024-11-26
Revised:2025-01-16
Published:2025-03-03
Contact:
Weiting CHEN, E-mail: chenweiting@imech.ac.cnSupported by:2010 MSC Number:
Mengru ZHANG, Mingzhu XU, Weiting CHEN, Yapu ZHAO. Thermo-mechanically coupled compatibility conditions in orthogonal curvilinear coordinates: equivalent temperature variation of initially stressed elastomers. Applied Mathematics and Mechanics (English Edition), 2025, 46(3): 423-446.
Fig. 1
Schematic diagram of the equivalent temperature variation of initially stressed cylindrical elastomers (color online)"
Fig. 2
Initial stress distributions for parabolic, logarithmic, exponential, hyperelastic, and thermally steady forms: (a) radial initial stress distributions for different κ and a fixed a/b=0.5, (b) radial initial stress distributions for different a/b and a fixed κ/E=0.01, (c) circumferential initial stress distributions for different κ and a fixed a/b=0.5, and (d) circumferential initial stress distributions for different a/b and a fixed κ/E=0.01 (color online)"
Fig. 3
Distributions of the equivalent temperature variation in parabolic, logarithmic, exponential, hyperelastic, and thermally steady forms for (a) different κ with a fixed a/b=0.5 and (b) different a/b with a fixed κ/E=0.01 (color online)"
Fig. 4
Initial stress distributions for parabolic, thermally steady, and fifth-, eighth-, and eleventh-degree polynomial forms: (a) radial initial stress distributions for different κ with a fixed a/b=0.5, (b) radial initial stress distributions for different a/b with a fixed κ/E=0.01, (c) circumferential initial stress distributions for different κ with a fixed a/b=0.5, and (d) circumferential initial stress distributions for different a/b with a fixed κ/E=0.01 (color online)"
Fig. 5
Distributions of the equivalent temperature variation in parabolic, thermally steady, and fifth-, eighth-, and eleventh-degree polynomial forms for (a) different κ with a fixed a/b=0.5 and (b) different a/b with a fixed κ/E=0.01 (color online)"
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