1. Engineering
  2. Mechanical Engineering
  3. the straindisplacement relation can be expressed compactly in tensor notation...

Question: the straindisplacement relation can be expressed compactly in tensor notation...

Question details

The strain-displacement relation can be expressed compactly in tensor notation as Ej- 를 (uij + uji), while in direct vector/matrix notation for reads є-Tu + (V) . Note, e is the 2 infinitesimal strain tensor, Vu is the displacement gradient and (Vu is its transpose. The displacement field is described by: Where a and b are arbitrary constants. Determine the displacement gradient, strain matrix, and sketch this deformation on a unit square ABCD in the x - y plane, as shown below. What is the displacement of the four vertices (A, B, C, D) Draw the new deformed shape. Is there rigid body motion? O C

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution