z**h
发帖数: 224 | | o****l
发帖数: 21 | 2 It is not required to use tensor analysis. But if you have experience in
tensor analysis when you study strength of materials, you'll further your
study in elasticity and continumm without much difficulty since their theories
are based on tensor analysis mathematically.
【在 z**h 的大作中提到】
: Rt
| z**h
发帖数: 224 | 3 I just don't remember why. if you have a three dimensional object, why use a
nine element matrix?
theories
【在 o****l 的大作中提到】
: It is not required to use tensor analysis. But if you have experience in
: tensor analysis when you study strength of materials, you'll further your
: study in elasticity and continumm without much difficulty since their theories
: are based on tensor analysis mathematically.
| o****l
发帖数: 21 | 4 In 3D, you have 9 stress components: fxx,fyy,fzz,fxy,fyx,fxz,fzx,fyz and
fzy although only 6 of them are independent. So you have a 3 by 3 matrix
to reprensent the stresses.
【在 z**h 的大作中提到】
: Rt
| z**h
发帖数: 224 | 5 kind of remembering. you include both the tensile stress and the shear
stress?
【在 o****l 的大作中提到】
: In 3D, you have 9 stress components: fxx,fyy,fzz,fxy,fyx,fxz,fzx,fyz and
: fzy although only 6 of them are independent. So you have a 3 by 3 matrix
: to reprensent the stresses.
| c*****e
发帖数: 238 | 6 because in many cases, the forces/materials are not isotropic.
【在 z**h 的大作中提到】
: kind of remembering. you include both the tensile stress and the shear
: stress?
| o****l
发帖数: 21 | 7 If you choose the principle axes as your cartesian coordination axes or
you only consider the principle stresses, there are only fxx, fyy, and fzz,
3 non-zero stresses. In strength of materials, people use the matrix form of
stress tensor for general conditions. It's very easy to use rotation matrix
to translate the general stress matrix to a diagonal matrix to get the 3
principle stresses. Mathematicall, it's very convinent and you do not need
to use the formula which relate the general stres
【在 z**h 的大作中提到】
: kind of remembering. you include both the tensile stress and the shear
: stress?
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