Not sure what you mean by the context. Let's say you want to design the wall to withstand the force but you know the force felt by the wall will be reduced due to existence of the mass of soil.
Hello,
Please see the attached sketch. A car hits a mass of soil and applies the impact force of F. The force/wave travels the distance L through the mass at the end of which there is a wall so I think the force attenuates. Assume we have all the properties of the mass. My question is, what...
Hello everyone,
So let's say we have a cuboid.
On the X axis, it's divided to 4 segments (i.e. by 3 lines parallel to z axis) (segx=4).
On the Y axis, it's divided to 3 segments (i.e. by 2 lines parallel to z axis) (segy=3).
On the Z axis, it's divided to 8 segments (i.e. by 7 lines parallel...
Homework Statement
So I need to prove that transversly isotropic materials have 5 independent elastic constants. I can prove that an orthotropic material has 9 independent elastic constants. I need to use the transformation matrix to show that some of the 9 mentioned components are equal for...
"one parameter family of functions" describing the curve
Homework Statement
Let a cube of unit length be represented by the set of vectors such that three of the cube's sides are aligned with the three orthonormal basis set vectors e1 e2 and e3, and one of the cube vertices lies on the origin...
Homework Statement
So I got three things to figure out:
1- ∫Curl u dV=∫u χ n dS
2- ∫div Tu dV=∫TT n. udS
3- ∫div θu dV=∫n.θu udS
where
n defines the outward normal to the boundary S
θ is a smooth scalar-valued function
u is a smooth vector-valued function
T is a smooth tensor-valued function...
Homework Statement
"A gradient of a vector field is symmetric if and only if this vector field is a gradient of a function"
Pure Strain Deformations of Surfaces
Marek L. Szwabowicz
J Elasticity (2008) 92:255–275
DOI 10.1007/s10659-008-9161-5
f=5x^3+3xy-15y^3
So the gradient of this function...
Thanks for the response but I guess what you refer to requires using indices and Einstein Summation stuff .. I'm only supposed to use the definitions ... Maybe my formula Sij=Sji was misleading or maybe it was not...
Could you be a little more specific please? Does that coordinate independent...
Homework Statement
Prove that symmetric and antisymmetric matrices remain symmetric and antisymmetric, respectively, under any orthogonal coordinate transformation (orthogonal change of basis):
Directly using the definitions of symmetric and antisymmetric matrices and using the orthogonal...