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What is difference between von mises and principle stress?

Updated: 11/1/2022
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Whenever an elastic body subjected to loads in its 3 dimensions, the stresses will get developed along the principal axis of the body. These are the principal stresses. These stress should not exceed the yield stress of the material. Von Mises (1913) postulated that, even though none of the principal stresses exceeds the yield stress of the material, it is possible for yielding of the same from the combination of stresses. The Von Mises criterion is a formula (refer any textbook which content failure theories for Ductile Materials) for combining these 3 stresses into an equivalent stress, which is then compared to the yield stress of the material.

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What is post processing in FEA?

After a finite element model has been prepared and checked, boundary conditions have been applied, and the model has been solved, it is time to investigate the results of the analysis. This activity is known as the post-processing phase of the finite element method.Post-processing begins with a thorough check for problems that may have occurred during solution. Most solvers provide a log file, which should be searched for warnings or errors, and which will also provide a quantitative measure of how well-behaved the numerical procedures were during solution. Next, reaction loads at restrained nodes should be summed and examined as a "sanity check". Reaction loads that do not closely balance the applied load resultant for a linear static analysis should cast doubt on the validity of other results. Error norms such as strain energy density and stress deviation among adjacent elements might be looked at next, but for h-code analyses these quantities are best used to target subsequent adaptive remeshing.Once the solution is verified to be free of numerical problems, the quantities of interest may be examined. Many display options are available, the choice of which depends on the mathematical form of the quantity as well as its physical meaning. For example, the displacement of a solid linear brick element's node is a 3-component spatial vector, and the model's overall displacement is often displayed by superposing the deformed shape over the undeformed shape. Dynamic viewing and animation capabilities aid greatly in obtaining an understanding of the deformation pattern. Stresses, being tensor quantities, currently lack a good single visualization technique, and thus derived stress quantities are extracted and displayed. Principal stress vectors may be displayed as color-coded arrows, indicating both direction and magnitude. The magnitude of principal stresses or of a scalar failure stress such as the Von Mises stress may be displayed on the model as colored bands. When this type of display is treated as a 3D object subjected to light sources, the resulting image is known as a shaded image stress plot. Displacement magnitude may also be displayed by colored bands, but this can lead to misinterpretation as a stress plot.An area of post-processing that is rapidly gaining popularity is that of adaptive remeshing. Error norms such as strain energy density are used to remesh the model, placing a denser mesh in regions needing improvement and a coarser mesh in areas of overkill. Adaptivity requires an associative link between the model and the underlying CAD geometry, and works best if boundary conditions may be applied directly to the geometry, as well. Adaptive remeshing is a recent demonstration of the iterative nature of h-code analysis.Optimization is another area enjoying recent advancement. Based on the values of various results, the model is modified automatically in an attempt to satisfy certain performance criteria and is solved again. The process iterates until some convergence criterion is met. In its scalar form, optimization modifies beam cross-sectional properties, thin shell thicknesses and/or material properties in an attempt to meet maximum stress constraints, maximum deflection constraints, and/or vibrational frequency constraints. Shape optimization is more complex, with the actual 3D model boundaries being modified. This is best accomplished by using the driving dimensions as optimization parameters, but mesh quality at each iteration can be a concern.Another direction clearly visible in the finite element field is the integration of FEA packages with so-called "mechanism" packages, which analyze motion and forces of large-displacement multi-body systems. A long-term goal would be real-time computation and display of displacements and stresses in a multi-body system undergoing large displacement motion, with frictional effects and fluid flow taken into account when necessary. It is difficult to estimate the increase in computing power necessary to accomplish this feat, but 2 or 3 orders of magnitude is probably close. Algorithms to integrate these fields of analysis may be expected to follow the computing power increases.

Related questions

Why is von mises stress not the highest stress?

You'd have to clarify this a little bit for a good answer to be possible.

When was Richard von Mises born?

Richard von Mises was born on April 19, 1883.

What is Ludwig von Mises's birthday?

Ludwig von Mises was born on September 29, 1881.

When was Ludwig von Mises born?

Ludwig von Mises was born on September 29, 1881.

When was Ludwig von Mises Institute created?

Ludwig von Mises Institute was created in 1982.

When did Richard von Mises die?

Richard von Mises died on 1953-07-14.

What is Richard von Mises's birthday?

Richard von Mises was born on April 19, 1883.

When did Ludwig von Mises die?

Ludwig von Mises died on October 10, 1973 at the age of 92.

What was Ludwig von Mises known for?

Ludwig von Mises is a noted economist and philosopher. Mises is known for his contributions to Libertarian political theory, and his economic work on money, inflation, and market economics. The Ludwig von Mises Institute is named for him and works to promote the Austrian School of economic thought.

How old was Ludwig von Mises at death?

Ludwig von Mises died on October 10, 1973 at the age of 92.

Mises is the Twitter handle for which Institute?

Mises is the name of the Twitter handle for the Austrian School of Economics. It is an institute for research and educational center for classical liberalism.

How old is Ludwig von Mises?

Ludwig von Mises was born on September 29, 1881 and died on October 10, 1973. Ludwig von Mises would have been 92 years old at the time of death or 133 years old today.

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