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Questions tagged [solid-mechanics]

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Plastic Multiplier for Perfectly Plastic Materials

I'm trying to apply the associated flow rule to elastic-perfectly plastic material, i.e.,$$d\epsilon_{ij}^p=\lambda\dfrac{\partial f}{\partial \sigma_{ij}}$$, where $f$ is a yield function with no ...
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Buckling in Columns

The following images are taken from Mechanics of Materials, Ferdinard Beer et al. 6th ed (2012) Just wondering that why the effective length of the column is taken 0.7 L (highlighted in the sample ...
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Engineering stress and true stress

I'm confused as to what is the difference between the above said stresses and their corresponding strains. If possible can anybody explain in detail what is engineering stress
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Why does concentrated shear force on a beam influence the whole beam?

This might be a silly question but can someone explain how this shear force on the right side of the beam causes Qy throught the whole beam? I understand it mathematically but not conceptually so I ...
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1answer
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Compressional Strain Definition

Strain in the x and y directions are defined by the following equations: $ε_x=\frac{du}{dx}+\frac{1}{2}[(\frac{du}{dx})^2 + (\frac{du}{dy})^2]$ $ε_y=\frac{dv}{dx}+\frac{1}{2}[(\frac{dv}{dx})^2 + (\...
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Solving Hertz Impact ODE with Simulink

I have a question about modelling a nonlinear 2nd order ODE for an impact of a sphere on a thin plate in Simulink. Depending on the solver and solver options, my results in Matlab vary a lot. Some are ...
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1answer
41 views

When calculating the deformed radius of a pressurized thick-walled cylinder, why is the hoop strain used rather than the radial strain?

The context I’ve taken an interest in the design of pressure vessels for use in submarine applications. From a cursory survey of what is used in industry, it seems the de facto standard housing is a ...
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Does same stress always produce same strain?

I am reading pure bending from Beer Johnston's mechanics of materials.There,a prismatic member having a plane of symmetry was subjected to equal and opposite couples M and M'acting in that plane.It ...
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Rotational and translation DoFs in structural mechanics

I'm a computational person, and I don't quite understand how rotational DoFs are manifested in the linear elasticity equations. I understand the translational DoFs are simply the displacement ...
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45 views

Analytical calculation vs FEA

In terms of calculated stress, strain, displacement etc which method yields more conservative results. Analytical calculation or numeric calculation?
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Boundary conditions for cantilever beam

I would like to ask about boundary conditions of a cantilever beam with a transverse point (in y dir) load at tip. According to equilibrium equations; We have a normal stress in x direction due to ...
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2answers
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Honeycomb structures vs shear stress

Honeycomb structures are made of top and bottom shells and honeycomb geometry at core. In terms of bending load, maximun normal strains take place on top and bottom hence, sheet parts can support them ...
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Stress strain curve [duplicate]

According to uniaxial stress strain curve, specimen fails at a certain stress value since necking begins. My question is that, same stress value appears before necking especially around yield point ...
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What bending test and torsion test standard are recommend for a surfboard?

I wish to find a bending and torsion test standard for a surfboard (non-prismatic) that is roughly 2000mm long. The closest I've found for bending test is probably those ones that are designed for ...
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1answer
50 views

Why do people build the core of a sandwich structure using compsite

Usually I see composite as a laminate wrapped around the core of a sandwich structure. Usually in loading such as bending the bending stress is the highest furthest away from the neutral axis, while ...
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1answer
44 views

How to perform 3 point bending test by using force instead of displacement in ABAQUS?

I know you can apply displacement to a rigid body (cylindrical rod) to perform a 3 point bending test in ABAQUS. Is it possible to apply force to the rod (e.g. rod with super high young's modulus so ...
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1answer
36 views

Calculate surface area and outward normal of each face(non-planar) for a irregular hexahedron.

I am using the vector cross product to calculate each surface area and thus the outward normal. However, this approach fails when the surfaces are non-planar. So what is the best approach to calculate ...
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1answer
61 views

How do we know that deformations occur in a uniform fashion throughout the length of shaft?

When equal and opposite torque act on the two ends of a circular shaft,how do we know that deformations occur in a uniform fashion throughout the length of shaft?Is it because that all cross section ...
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Is it possible to change a 'relaxing length' of edges for 8 node hexaedral element in 3d FEM

I am using 3D FEM with 8 node brick element to model a certain type of growth/expansion, which is not a plastic deformation. First, I apply a pressure/load and I get displacement and new position of ...
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1answer
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Moment of inertia calculation at different axes [closed]

I have moment of inertia at 2 different axes orientation. How to calculate the angle between the 2 axes?
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1answer
76 views

Can isotropic materials become anisotropic under elastic deformation?

Are there solid materials that begin as isotropic materials (i.e. isotropic elastic parameters) in their natural (i.e. unstressed) state, but that become anisotropic under sufficient stress/strain? ...