Analysing Cube Stress & Deformation in Figure A & B

AI Thread Summary
The discussion focuses on analyzing stress and deformation in a cube under compression, referencing figures A and B. In figure A, participants are tasked with determining the stress state and relative deformations, noting that the sum of relative deformations equals zero due to the conservation of volume. Figure B introduces an indeformable plate scenario, prompting questions about contact between the cube and housing, as well as stress states under compression conditions. Participants express uncertainty about stress values and deformation calculations, seeking guidance on how to approach the exercise. The conversation highlights the complexities of applying material properties like Young's modulus and Poisson's ratio in practical scenarios.
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We have a cube with sides of 10mm (fig a) (in the same material than the exercice 1 (have poisson coef & young's modulus)

A- figure A
1- Write the stress state and the relatives values deformations (tensor)

2- Why the sum of relatives deformation is equal to 0?

B-Figure B
The cube is placed in a indeformable plate where a housing was realized inside. His dimension are on the figure B. The cube is already comprimed.
1- Thx to the results of A1, the x,y faces will be in contact with x,y, housing?
2- If we do the hypothesis of contact, determine the stress state and relatives values of deformation of thus cube.
3- What can you note analysing deformations.

C- The cube is comprimed with 0.6MPa but here is no space between the cube and the housing. write the tensor of deformation without calculus.

Well, sorry for my Bad english...

Where am I?
1)For me all stress values are equal to 0 except σzz= -0.6MPa? True ? I'm not sure cause σ=F/A=0.6/100 ? and deformation=σ/Young modulus ?

2)I didn't have to do more on this exercise. I won't have answers, i will try to do it this afternoon. But if you can give advices to know where i can start on the different questions, it can be good.

Thx a lot to read,and to give me your time.
 

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Sorry, I'm unable to understand your English, so I can't be of much help. But, for the case shown in figure A, is the Poisson ratio equal to 1/2?

Chet
 
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