Task 8. Consider a unit cube of an isotropic solid occupying the region 0≤ x ≤ 1, 0≤ y ≤ 1, 0≤ z <1. After loads are applied the displacements are given by u = ax v = By W = yz. a) Sketch the deformed shape for a = 0.01, 3 = 0.01, y = -0.01. b) Find the volume change (the difference between the volume after de- ormation and the original volume) for this unit cube.
Task 8. Consider a unit cube of an isotropic solid occupying the region 0≤ x ≤ 1, 0≤ y ≤ 1, 0≤ z <1. After loads are applied the displacements are given by u = ax v = By W = yz. a) Sketch the deformed shape for a = 0.01, 3 = 0.01, y = -0.01. b) Find the volume change (the difference between the volume after de- ormation and the original volume) for this unit cube.
Related questions
Question
Transcribed Image Text:Task 8. Consider a unit cube of an isotropic solid occupying the region
0≤ x ≤ 1,
0≤ y ≤ 1,
0≤ Z ≤1.
After loads are applied the displacements are given by
u = ax
v =
By
w = 72.
a) Sketch the deformed shape for a =
= 0.01, 3 = 0.01, y = -0.01.
b) Find the volume change (the difference between the volume after de-
formation and the original volume) for this unit cube.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
