A simple shear deformation of a square

Assignment Help Project Management

Reference no: EM131303627

Consider a simple shear deformation of a square whose deformed geometry is given as

x₁ = X₁+ aX₂, x₂= X₂, x₃ = X₃

When the material is incompressible Mooney-Rivlin hyperelastic material with A₁₀ = 80 MPa and A₀₁ = 20 MPa, write the expression of the S₁₂ component of the second Piola-Kirchhoff stress as a function of α.

In addition, write the expression of σ₁₂ of the Cauchy stress as a function of α. Plot S₁₂ and σ₁₂ in the range of α = [0.0, 1.5].

Reference no: EM131303627

Questions Cloud

A deformation of a rectangular bar : Consider a deformation of a rectangular bar whose deformed geometry is given.- write the expression of the S11 component of the second Piola-Kirchhoff stress as a function of α.

Deploying a transparent proxy service with keyword filtering : Deploying a DHCP service for the client's network configuration - Deploying a TFTP service. The client should be able to upload and download files to the TFTP server.

Write a research paper about the surrealism : Write a research paper about the surrealism.What is surrealism? What does it stand for? Is there any contemporary artist practicing surrealism in technological era?

How much will adam consume this year and next year : Suppose Adam receives a tax rebate of $100 per year, so his income is $14,100 per year for the rest of his working career. By how much does his consumption increase this year and next year?

A simple shear deformation of a square : When the material is incompressible Mooney-Rivlin hyperelastic material with A10 = 80 MPa and A01 = 20 MPa, write the expression of the S12 component of the second Piola-Kirchhoff stress as a function of α.

Statements concerning beta coefficients : Which of the following statements concerning beta coefficients is (are) correct?. Investors who tend to be risk averse should have portfolio made up mostly of high-beta coefficient securities. Beta coefficients of particular securities change over ti..

Summarizing a report about thermal cracking of pavement : Summarizing a report about "Thermal cracking of pavement", I couldn't fine Civil Eng. Field so I chose applied science! Determining the need for crack treatment. Evaluating and assessing the performance of the crack treatment.

Write a review about the article the gogh and komarov : Write a review about the article The Gogh and Komarov .To look art through two different eyes is a challenging adventure. However, our taste of art might conflict itself in the next day, or even during the critique process. Three weeks ago, when we..

Derive the energy form and its linearization : Derive the energy form and its linearization of a Mooney-Rivlin hyperelastic material using the perturbed Lagrangian method. Use a mixed variable r = [uT, p]T.

User Account

All Pages