# strain

## Overview of solid mechanics

This video (LINK)  attempts to give the big picture of solid mechanics along with the brief explanation of the constituent topics.

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This is an educational outreach initiative targeted at all engineers interested in mechanics and seek simpler explanations. Kindly share if you learn something out of this !

Thanks,

Prithivi

## Strain calculation in ABAQUS

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Hello,

I have some troubles in calculating the strain in ABAQUS. I have the following Model with one element (see picture) and a linear elastic isotropic Material (Steel), which is sheared in the x-direction. The analytical result of the strain tensor gives me in xz-direction 0.25 (see picture). The result in ABAQUS is 0.5. I ran the same simulation in CalculiX CrunchiX and got the expected strain of 0.25 in the xz-direction

Can anyone tell me how ABAQUS calculates the strain for a linear static analysis? Why is the ABAQUS result exactly 50% higher?

## How obtain tension strain concrete(σt0) in damaged plasticity model in ABAQUS?

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How obtain tension strain concrete(σt0) in damaged plasticity model in ABAQUS?

hello engineers

i need help about concrete damaged plasticity

fo example :

if Compressive stress (Fu)= 51.2 MPa

and tension stress (σ t)=0.3 x 51.2^(2/3)=4.136

1)why (σ t) is 2.36 in picture(uploaded)?

2)what is tension strain ? and how? i cant understand.

i cant obtain εt = total tensile strain.

how obtain εcr ?

## New Ebook on Elastic Solids at Amazon

This treatise provides a broad overview of the definitions of
fundamental quantities and methods of analysis for the use of solid materials
in structural components. The presentation is limited to the linear elastic
range of material behavior where there is a one to one relationship between
methods of analysis and typical results for structures made of elastic solid materials

## Stress/strain of a body performing a translation

Hello all,

I am having task to determine the strength analysis (stress/strain) of a translating machine part (body). The part is driven by a set of gears, placed on the top of the body. The input is a constant acceleration value to the propultion engine. Firstly I should do a 2D analysis with a retangle representing the machine part.

I am new to this subject, so any idea, approach,  advice or helping material is welcomed.

Ljupco Poposki

## Strain Energy Derivation

Dear Sirs,

I'm trying to derive an strain energy in a small volume 2a x 2b x 2t.

I can derive "The rest terms are ommited" by myself .

By the way, I can't derive the DT2 term in the 2nd row of the figure.

Thanks,

Jin Kim

## Void-induced strain localization at interfaces

We published this paper in APL on a study of the deformation near interfaces. It provides insight in the strain localization at the interface and its influence on the deformation in bulk metals.

Abstract An optical full-field strain mapping technique has been used to provide direct evidence for the existence of a highly localized strain at the interface of stacked Nb/Nb bilayers during the compression tests loaded normal to the interface. No such strain localization is found in the bulk Nb away from the interface. The strain localization at the interfaces is due to a high void fraction resulting from the rough surfaces of Nb in contact, which prevents the extension of deformation bands in bulk Nb crossing the interface, while no distinguished feature from the stress-strain curve is detected.

## Augustin Louis Cauchy (August 21, 1789 – May 23, 1857)

Augustin Louis Cauchy ( 21 August 1789 - 23 May 1857) was a French mathematician and mechanician. In mechanics, he in 1822 formalized the stress concept in the context of three-dimensional thoery, showed its properties as consisting of a 3 by 3 symmetric arrays of numbers that transform as a tensor, derived the equations of motion for a continuum in terms of the components of stress, and gave the specific development of the theory of linear elasticity for isotropic solids. As part of his work, Cauchy also introduced the equations which express the six components of strain, three extensinal and three shear, in terms of derivatives of displacements for the case when all those derivatives are much smaller than unity; similar expressions had been given earlier by Euler in expressing rates of straining in terms of the derivatives of the velocity field in a fluid. (cited from Mechanics of Solids by J.R. Rice) Read more...