why do we need to mesh on the mid surface only in Finite element modelling?

Question

Now a days Finite element analysis has become more popular. We can solve any kind of engineering problems from it.
In solving 2D model problems we need generate mesh on the mid surface. Why mid surface only??

Please answer..

Answer 1

Mid-surface meshes are used when shell or plate elements are used for the analysis. If the structure is thin compared to the other dimensions, using 2-D elements (i.e. shells or plates), then a significant mesh density over the surface of the component can be achieved for the analysis with an overall reduced number of degrees of freedom as compared to a comparable solid element mesh.

Answer 2

Maybe I don't understand the question, but you need a mesh over the entire problem space. The mesh size could be varied depending on the expected gradients.

Answer 3

Finite ingredient diagnosis (FEA) is a working pc or laptop simulation technique used in engineering diagnosis. It makes use of a numerical technique noted because of the fact the finite ingredient techniques-set (FEM). It grew to grow to be into first extra useful in 1943 by Richard Courant, who utilized the Ritz techniques-set of numerical diagnosis and minimization of variational calculus to acquire approximate techniques to vibration structures. on the instant thereafter, a paper revealed in 1956 by M. J. Turner, R. W. Clough, H. C. Martin, and L. J. Topp properly-everyday a broader definition of numerical diagnosis. The paper properly-everyday on the "stiffness and deflection of complicated structures". progression of the finite ingredient techniques-set in structural mechanics is often in line with an potential theory such because of the reality the digital artwork theory or the minimum finished ability potential theory. In its application, the article or gadget is represented by a geometrically comparable style which incorporates different, suited, simplified representations of discrete factors—i.e., finite factors on an unstructured grid. Equations of equilibrium, on the ingredient of suited truthfully matters which comprise compatibility and constitutive kin, are utilized to each ingredient, and a gadget of simultaneous equations is geared up. The gadget of equations is solved for unknown values using the techniques of linear algebra or nonlinear numerical schemes, as suited. together as being an approximate techniques-set, the accuracy of the FEA techniques-set might desire to be extra useful by refining the mesh interior the variety using extra effective factors and nodes. somebody-friendly use of FEA is for the alternative of stresses and displacements in mechanical contraptions and structures. even though if, it extremely is likewise routinely used interior the diagnosis of many categories of matters, which incorporate those in heat temperature flow, fluid dynamics and electromagnetism. FEA is able to handle complicated structures that defy closed-type analytical techniques. There exist many finite ingredient application classes, the two loose and proprietary..