Shape and Shape Changes in Mechanics The Mechanical and Thermal Gradient Theories /
This book provides an innovative description of motion with large deformations and the possibility of defects and dislocations. The theory is based on the stretch and angular matrices of the polar decomposition allowing convex potentials. Third-order gradient theories are required to account for mec...
-д хадгалсан:
| Үндсэн зохиолч: | |
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| Байгууллагын зохиогч: | |
| Формат: | Цахим Цахим ном |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Хэвлэл: | 1st ed. 2025. |
| Цуврал: | Springer Series in Solid and Structural Mechanics,
15 |
| Нөхцлүүд: | |
| Онлайн хандалт: | https://doi.org/10.1007/978-3-031-75915-4 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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| Тойм: | This book provides an innovative description of motion with large deformations and the possibility of defects and dislocations. The theory is based on the stretch and angular matrices of the polar decomposition allowing convex potentials. Third-order gradient theories are required to account for mechanical everyday experiments, for instance assemblies of solid structures with different spatial dimensions. Second-order gradient theories are required for thermal experiments. Using the principle of virtual power and new convex potentials, the position of either solid or fluid structures together with the matrix accounting for the defects and dislocations is computed. Defects and dislocations are present in case an internal stress is large enough. Engineers and scientists active in solid and fluid engineering, mathematics, and numerics should be aware of this predictive theory. Damage, shape memory alloys, Cosserat materials, and surface tension are investigated in this framework. |
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| Биет тодорхойлолт: | 1 online resource (XIV, 415 p. 17 illus.). 4 illus. in color. |
| ISBN: | 9783031759154 |
| ISSN: | 2195-352X ; |
| DOI: | 10.1007/978-3-031-75915-4 |