Vôùi dydz z x y x 2 dxdz z x x x 2 dxdy y x x x 2 dz z x dy y x dx 1 x x dx dx

# Vôùi dydz z x y x 2 dxdz z x x x 2 dxdy y x x x 2

• 32

This preview shows page 22 - 24 out of 32 pages.

Vôùi: dydz z x y x 2 dxdz z x x x 2 dxdy y x x x 2 dz z x dy y x dx 1 x x dx dx ' ' ' ' ' ' 2 2 ' 2 2 ' 2 2 ' 2 2 ' (2.80) Töông töï: 2 2 ' 2 2 ' dz dz va ø dy dy Neáu ij laø kí hieäu kronecker: 3 1 k , j , i j i khi 0 j i khi 1 ij (2.81) Ñaïi löôïng trong ngoaëc laø 1 tensor haïng hai vaø goïi laø tensor bieán daïng, noù coù tính ñoái xöùng ñoái vôùi caùc chæ soá i & j. Ta duøng caùc kí hieäu ñeå chæ caùc thaønh phaàn tensor ñoù: ij j ' k i ' k ij x x x x e 2 (2.82) Neáu kí hieäu 3 2 1 u , u , u u thì: k ' k k ki i k i ' k k k ' k x x u x u x x x u x (2.83)

Subscribe to view the full document.

Giaùo Trình CÔ CHÖÔNG 2: ÖÙNG SUAÁT VAØ BIEÁN DAÏNG 90 TS. Vuõ Coâng Hoøa Thay (2.83) vaøo (2.82): j k i k j k ki i k kj ij x u x u x u x u 2 1 e (2.84) j k i k j i i j ij x u x u x u x u 2 1 e (5.85) Neáu chuyeån qua kí hieäu thoâng thöôøng ta seõ coù 6 thaønh phaàn ñoäc laäp cuûa tensor bieán daïng: zy yz zx xz yx xy 2 2 2 zz 2 2 2 yy 2 2 2 xx e z w y w z v y v z u y u y w z v 2 1 e e z w x w x v x v z u x u x w z u 2 1 e e y w x w y v x v y v x u x v y u 2 1 e z w z v z u 2 1 z w e y w y v y u 2 1 y v e x w x v x u 2 1 x u e Vaø Tensor bieán daïng: zz zy zx yz yy yx xz xy xx e e e e e e e e e T (2.87) Treân ñaây laø caùch dieãn taû ñuùng ñaén cuûa bieán daïng baát chaáp caáp cuûa ñoä lôùn cuûa chuyeån vò.
• Fall '19

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes