uncleflo
Registered since September 28th, 2017
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Tag selected: strain.
Looking up strain tag. Showing 6 results. Clear
Objectives_template
Saved by uncleflo on April 4th, 2015.
Now, let us assume that we have measured all the engineering constants of an orthotropic material along principal directions. With these engineering constants we know the relation between the strain and stress components as given in Equation (3.42) and Equation (3.43). Thus, it is easy to see that we can relate the strain components to stress components through compliance matrix. Let us recall from previous lecture the stiffness matrix for orthotropic material (Equation (3.26)). The inverse of this matrix (compliance) will have the same form as the stiffness matrix. Thus, we write the relationship between strain and stress components using compliance matrix as follows
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Composite Materials and Structures
Saved by uncleflo on April 4th, 2015.
The heterogeneity in a composite material is introduced due to not only its bi-phase or in some cases multi-phase composition, but also laminations. This leads to a distinctly different stress strain behaviour in the case of laminates. The anisotropy caused due to fibre orientations and the resulting extension-shear and bending-twisting coupling as well as the extension-bending coupling developed due to unsymmetric lamination add to the complexities. A clear understanding of the constitutive equations of a composite laminate is thus desirable before these are used in analysis and design of composite structures. In this chapter, we first introduce to the readers the basic constitutive equations for a general three-dimensional anisotropic material with and without material symmetry, elastic constants and compliances and their relations to engineering constants, as well as transformation laws for elastic constants and compliances for both three and two-dimensional cases.
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Shock Mitigation in Low-Density Thermoplastic Foams Part I – Dealing with Inbound Kinetic Energy
Saved by uncleflo on December 7th, 2014.
Low-density thermoplastic foams are frequently used as energy-absorbing foams. That is, kinetic energy from an incoming mass is mostly dissipated in the foam, resulting in little, if any, throwback or reverse propulsion of the mass from the foam. Typically, energy absorption is described in terms of the area under the foam stress-strain curve. The typical stress-strain curve for a low-density foam is depicted as having three general components: At low compression, say, less than about 5%, the foam acts as a Hookean elastic spring. That is, the extent of compression, ε, is directly proportional to the applied stress, σ , with the proportionality, Ef, being the modulus of the foam: σ = Ef ε. For essentially all foams, the modulus of the foam is directly related to the modulus of the polymer, Ep, and the ratio of squares of the foam density, Ep, and polymer density, ρP: Ef = Ep (ρf / ρo)².
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Euler-Bernoulli Beams: Bending, Buckling, and Vibration
Saved by uncleflo on September 2nd, 2014.
Euler-Bernoulli Beams: Bending, Buckling, and Vibration. 2.002 Mechanics and Materials II Department of Mechanical Engineering MIT February 9, 2004
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Isotropic Linear Elastic Stress Concentration, Massachusetts Institute of Technology
Saved by uncleflo on September 2nd, 2014.
The primary objectives of this lab are to introduce the concept of stress and strain concentration factors in notched structural configurations. The notion of stress concentration is experimentally explored qualitatively, using photoelasticity, and quantitatively, using experimental, analytical, and numerical methods. 2.002 Mechanics and Materials II, Spring 2004
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ARCH 324 - Structures 2 | Open.Michigan
Saved by uncleflo on May 30th, 2014.
This course covers the basic principles of elastic behavior for different materials such as wood, steel, concrete, and composite materials and compares the properties and applications of materials generally. It investigates cross sectional stress and strain behavior in flexure and in shear, and torsion as well as the stability of beams and columns. The qualitative behavior of combined stresses and fracture in materials is also covered.
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