How to implement the Ogden material model for compressible uniaxial loading?

The following code example shows one way to implement the Ogden material model for compressible uniaxial loading. Ogden model: the volumetric response function is W vol (J) = κG (J) = κβ −2 (βlnJ + J −β − 1), β > 0, with κ a bulk modulus in the reference configuration, with the condition G (1) = 0 → W vol (1) = 0.

What are the indices of the Ogden formulation?

In the Ogden formulation, the indices ap need not be integers. Special cases of the Ogden formulation are: n = 1, α 1 = l; this model was advocated by Varga 41 and by Bartenev and Nikiforov. 42n = 1, α 1 = 2; this gives the neo-Hookean material model. n = 2, α 1 = 2 and α 2 = −2; this gives the Mooney-Rivlin material model.

How to reduce the Order of N in Ogden model?

If the (general) polynomial model is used, lower the order of N from 2 to 1 (3 to 2 for Ogden ), especially if the maximum strain level is low (say, less than 100% strain). If multiple types of test data are used and the fit still comes out poorly, some of the test data probably contain experimental errors. New tests may be needed.

How well does the Ogden model work for high strains?

The Ogden model is implemented in most commercial finite element packages and works quite well up to reasonably high strains. For α = 2 the Ogden model reduces to the Neo-Hookean model.

Ogden User Manual - Finder Manual

Listing Results Ogden User Manual

About 18 results and 4 answers.

Ogden ETR-901 Manuals and User Guides, Temperature

You can examine Ogden ETR-901 Manuals and User Guides in PDF. View online or download 1 Manuals for Ogden ETR-901. Besides, it’s possible to examine each page of the guide singly by using the scroll bar. This way you’ll save time on finding the necessary info.

Ogden ETR-9200 Manuals, Ogden Controller Manuals

Ogden Controller User Guides: Ogden ETR-3 Control Panel Instruction Manual MANUAL NO. 33ETR-3 FM SUB-PANEL MOUNT HI-LIMIT CONTROL INSTRUCTIONMANUALThe ETR-3 …

Ogden RCR812 Manuals and User Guides, Farm Equipment

Ogden RCR812 User Manuals, Guides and Specifications for your Ogden RCR812 Farm Equipment. Database contains 1 Ogden RCR812 Manuals (available for free online viewing or downloading in PDF): Owner's manual .

4.6.2 Fitting of hyperelastic and hyperfoam constants

We use the Marquard-Levenberg algorithm in the formulation by Twizell and Ogden (1986). Let , be the coefficients of these hyperelastic models, where m is the number of coefficients contributing to the deviatoric behavior. Specifically, for the Ogden model, for the Arruda-Boyce model, and for the Van der Waals model. The coefficients are found ...

4.6.1 Hyperelastic material behavior

Ogden's energy function cannot be written explicitly in terms of and . It is, however, possible to obtain closed-form expressions for the derivatives of U with respect to and . The value of N and tables giving the and values as functions of temperature are specified by the user.

Ogden School District Home Page

Ogden School District is on the move to substantial and permanent improvement of student achievement. Our teachers provide high quality instruction. There is an outstanding support structure in place for new teachers as well as veteran teachers seeking to …

Ogden Temperature Controller ETR-8300-4130100 - Thermal

The Ogden Temperature Controller ETR-8300-4130100 from Thermal Devices, an authorized Ogden distributor. The full line of Ogden ETR temperature controllers are used in a wide variety of machinery to accurately maintain process temperatures. Common applications include: commercial cooking/warming, defrost equipment, extrusion machines, packaging machines, …

Hyperelastic behavior of rubberlike materials

The initial shear modulus and bulk modulus for the Ogden form are given by μ0 = N ∑ i=1μi, K0 = 2 D1. μ 0 = ∑ i = 1 N μ i , K 0 = 2 D 1. The particular material models described above—the Mooney-Rivlin and neo-Hookean forms—can also be obtained from the general Ogden strain energy potential for special choices of μi μ i and αi α i .

How to Use Oxygen Concentrators Inogen

The following manuals and documents are currently available to help familiarize patients with the Inogen One System. These are large files and may take a moment to load. Inogen One G5 Product Information. Inogen One G5 User Manual- English, Spanish and French (1681 KB) Inogen One G5 Getting Started Guide (949 KB)
Ogden

Ogden Model - an overview ScienceDirect Topics

The Ogden model [12] is a very general hyperelasticity model with a Helmholtz free energy per reference volume that is expressed in terms of the applied principal stretches. The Helmholtz free energy for the Ogden model can be written in different ways. One common compressible representation [ 27] is given in Equation ( 5.117 ).

*HYPERELASTIC

Data lines to define the material constants for the Ogden strain energy potential First line if N = 1. μ 1. α 1. D 1. Temperature. Repeat this data line as often as necessary to define the material constants as a function of temperature. First line if N = 2. …

Ogden ETR-9300 Cross Reference Guide - Zesta

ZEL-9300 User Manual This guide is to help select replacements for Ogden ETR® controllers with Zesta ZEL™ controllers. The ZEL™ user manual and datasheet should be consulted when selecting a replacement controller. Some cross-referenced model numbers may not have all of the inputs/output types and features of the original.

Ogden ETR Cross Reference Guide - Zesta

Ogden ETR Cross Reference Guide. This guide is to help select replacements for Ogden ETR® controllers with Zesta ZEL™ controllers. The ZEL™ user manual and datasheet should be consulted when selecting a replacement controller. Disclaimer: some cross-referenced model numbers may not have all of the inputs/output types and features of the ...

Manuals & Catalogs AlphaGraphics AlphaGraphics South Ogden

Manuals & Catalogs Display your products, courses, or classes with lively, custom catalogs that grab the attention of passersby. With vivid image printing, you can breathe life into your products in a tactile way that sells like never before.

WELSIM MatEditor

Online user manual. Specification Basic: Density, Isotropic Thermal Expansion, Isotropic ... Mooney-Rivlin 2, Mooney-Rivlin 3, Mooney-Rivlin 5, Mooney-Rivlin 9, Neo-Hookean, Ogden 1st Order, Ogden 2nd Order, Ogden 3rd Order, Polynomial 1st Order, Polynomial 2nd Order, Polynomial 3rd Order, Yeoh 1st Order, Yeoh 2nd Order, Yeoh ...

ManTech hiring Senior Documentation/ Technical Writer in

ManTech is currently seeking experienced professionals for the Air Force Nuclear Weapons Center at Hill Air Force Base-Ogden, Utah. This will be supporting the Integration Support Contract (ISC) 2.0.

Spencer Ogden hiring Analyst in Singapore

Create a user manual or user guide for the systems. Internal and external stakeholders should get basic system training. Assist in the planning and design of leak simulation studies in order to investigate and validate the theory. Performance of the system, as well as post-experiment outcomes analysis

Frequently Asked Questions

How to implement the Ogden material model for compressible uniaxial loading?

The following code example shows one way to implement the Ogden material model for compressible uniaxial loading. Ogden model: the volumetric response function is W vol (J) = κG (J) = κβ −2 (βlnJ + J −β − 1), β > 0, with κ a bulk modulus in the reference configuration, with the condition G (1) = 0 → W vol (1) = 0.
What are the indices of the Ogden formulation?

In the Ogden formulation, the indices ap need not be integers. Special cases of the Ogden formulation are: n = 1, α 1 = l; this model was advocated by Varga 41 and by Bartenev and Nikiforov. 42n = 1, α 1 = 2; this gives the neo-Hookean material model. n = 2, α 1 = 2 and α 2 = −2; this gives the Mooney-Rivlin material model.
How to reduce the Order of N in Ogden model?

If the (general) polynomial model is used, lower the order of N from 2 to 1 (3 to 2 for Ogden), especially if the maximum strain level is low (say, less than 100% strain). If multiple types of test data are used and the fit still comes out poorly, some of the test data probably contain experimental errors. New tests may be needed.
How well does the Ogden model work for high strains?

The Ogden model is implemented in most commercial finite element packages and works quite well up to reasonably high strains. For α = 2 the Ogden model reduces to the Neo-Hookean model.