What is an axisymmetric?
What is an axisymmetric?
Definition of axisymmetric : symmetric in respect to an axis.
What is displacement in fea?
The principle objective of the displacement based finite element method is to compute the displacement field within a solid subjected to external forces. To make this precise, visualize a solid deforming under external loads. Every point in the solid moves as the load is applied.
Which are the field unknown variables in FEM is applied to the solid mechanics problems?
The basic unknowns or the Field variables which are encountered in the engineering problems are displacements in solid mechanics, velocities in fluid mechanics, electric and magnetic potentials in electrical engineering and temperatures in heat flow problems In a continuum, these unknowns are infinite.
How stress is calculated in the finite element method?
Both stresses and strains are calculated as post-processing quantities once a converged solution is obtained for the nodal displacements. Stress and strain are calculated at the Gauss points and further on projected to the nodal points.
What is an axisymmetric element?
Axisymmetric elements are triangular tori such that each element is symmetric with respect to geometry and loading about an axis such as the z axis. Hence, the z axis is called the axis of symmetry or the axis of revolution. Each vertical cross section of the element is a plane triangle.
What is axisymmetric model?
Axisymmetric flow elements must be positioned in the model XY plane, i.e., the Z coordinate of the element nodes must be zero [Fig. 15.3]. Figure 15.3: Axisymmetry. DIANA considers the Y axis as axis of rotational symmetry, therefore each element models a ring.
What is residual FEM?
The weighted residual method is an efficient method to find the approximate solution of a differential equation. For a two-dimensional unsteady temperature field, the temperature must satisfy the differential equation of conduction of heat and the initial and boundary conditions.
What is displacement in stress analysis?
The components of displacement are usually called u, v, and w in the x, y, and z-directions, respectively. Unlike the heat transfer case where the gradient is used directly, in stress analysis the multiple components of the displacement gradients are combined into alternate forms called strains.
When can we apply axisymmetric governing equations in FEA?
Q.no 15. When can we use axisymmetric governing equations? A : Cross-section, and loading conditions are axisymmetric.
What is stress in FEM?
What is called stress is the value of this load divided by the surface (same unit as a pressure). Normal stress σ is the stress applied normally to the face (as the name indicates) Shear stress τ is the stress applied in the same plane than the face.
In this chapter, we consider a special two-dimensional element called the axisymmetric element. This element is quite useful when symmetry with respect to geometry and loading exists about an axis of the body being analyzed.
What is the difference between a solid and a liquid?
Liquid In a liquid, particles are less tightly packed as compared to solids. Liquids take the shape of the container in which they are kept. Liquids are difficult to compress as particles have less space between them to move. Liquids have fixed volume but no fixed shape. The rate of diffusion in liquids is higher than that of solids.
What is the axis of symmetry?
Derivation of the Stiffness Matrix Axisymmetric elements are triangular tori such that each element is symmetric with respect to geometry and loading about an axis such as the z axis. Hence, the z axis is called the axis of symmetry or the axis of revolution.
Why are torus elements often used to idealize the axisymmetric system?
Triangular torus elements are often used to idealize the axisymmetric system because they can be used to simulate complex surfaces and are simple to work with. CIVL 7/8117 Chapter 9 – Axisymmetric Elements3/66
