Consider the mapping in 2-D only = X1 +7X2 = X1+ uz *2 = (1+e)X2 = X2+ Uz. (1) 1. In terms of y and a compute F, i.c. the Fij's and then compute the Cy = FF.; recall F = F. Now do the following. 2. Take two fibers, viz. dX = e; and dY = e2, that is two fibers of unit length along the e, and ez axes, respectively in the reference state. Compute the stretch of dX and dY. 3. Compute the small strains from this mapping with u = X2 and uz = eX, from above. What would these small strains suggest for the change in lengths of dX and dY?

Q: Design a four bar linkage to generate the function y=x²-1 for values of x between 1 and 5. Use…

A: To solve this problem, we need to design a four-bar linkage that generates the function  the for…

Q: Find p¹ and matrix R₂.

A: The preceding method entails applying linear algebra techniques to the issue of determining the…

Q: List the vertices of the polygon above when it is represented using a vector data model.

A: Writing the vertices for vector data model for this closed figure as: - (0,0) (2,1) (2,0) (0,0)

Q: 4. 2 2.

A:

Q: Compute the inverse of matrix A with 1 1 A =0 1 V2 1 1

A: For a square matrix,       A-1=1AAdjA and A≠0 If A=0, then the matrix is non singular and inverse…

Q: 3- A 2-mm by 1-mm rectangular domain is modeled using two linear triangular elements as shown below.…

A: according to the given details

Q: Help!! Solve part D correctly.

A:

Q: Find the eigenvalues, eigenvectors, and the matrix X that diagonalizes the given matrix via a…

A: Ans Given Now make a new matrix by subtracting  from the diagonal entries of the given matrix A…

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.