In Finite Element Method (FEM), for discretization purpose in general, which 2D element is an undesired one?

In Finite Element Method (FEM), for discretization purpose in general, which optionis not true for mesh refinement?

A

Previous meshes should be contained in the refined mesh

B

Any point in the body can be included within an arbitrarily small element at any stage of the mesh refinement

C

The same order of approximation for the solution may be preserved through all stages of the refinement process

D

Elements with very large aspect ratios are desired

In Finite Element Method (FEM), for discretization purpose in general, a refined mesh is employed in areas where changes in geometry, boundary conditions, loading, material properties or solution are present.

A

True

B

False

In Finite Element Method (FEM), In order to increase accuracy of a solution, while domain discretization, more than one node is to be placed at a point source.

A

True

B

False

In Finite Element Method (FEM), which option is not correct with respect to discretization or mesh generation?

A

Density of elements depends on the degree of accuracy desired

B

Choice of element type may depend on the geometry of domain

C

For better accuracy correct formulae has to be applied

D

Some general rules govern mesh generation

In Finite Element Method (FEM), While domain discretization, at which of the following geometrical cases a node is not required?

A

Change in cross-section area only

B

Change in cross-section only

C

Change in cross section area as well as change in cross-section

D

No change

In Finite Element Method (FEM), choose the incorrect option regarding to the dimensions (mm) of elements in a finite element mesh?

A

Elements with very large aspect ratios are avoided

B

Elements with small angles are undesired

C

The coefficient matrices in finite element equations depend on dimensions of elements

D

Rectangular elements with high aspect ratio are preferred

In FEM, the forced vibrations equation after Finite Element discretization of a structure can be expressed as which option?

A

Mẍ+Kẋ=F

B

Mẍ+Kẋ=0

C

Mẍ+Kx=F

D

Mẍ+Kx=0

The discretization of the transient term using the finite volume approach is more like the spatial discretization of __________

A

the convection term

B

the diffusion term

C

the source term

D

the anti-diffusion term

For consistency to have some relationship with discretization error, the discretization error should be ____________

A

some powers of time-step

B

some powers of grid spacing

C

some powers of time-step and/ or grid spacing

D

some function of time-step and/ or grid spacing

In FEM, which method is not used to construct the weak forms and associated finite element model of the plane elasticity equations?

A

Principle of virtual displacements

B

The principle of minimum total potential energy

C

Weak form of governing differential equations

D

Hamiltonian principle

In Finite Element Method (FEM), for discretization purpose in general, which 2D element is an undesired one?

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