Lecture

Nonlinear Waves in Composites and Snow: Constitutive Response

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In course

ME-628: High Strain Rate Mechanics of Materials

This course offers fundamentals concepts of material behavior under dynamic loads such as impact and shock. lt will cover experimental methods and analytical modeling approaches to describe the dynamic deformation behavior of metals, ceramics and polymeric ...

Description

This lecture covers the detection of micro-damage in composites using nonlinear waves, the strain rate dependency in constitutive modeling of snow, and the visco-hyperelastic model for human brain tissue. It discusses experimental validation methods, dynamic shear and tension tests, and the comparison of Rivlin models. The presentation also delves into the mechanical characterization of gels, the validation of deformation states, and the development of a visco-hyperelastic model. The content includes a detailed analysis of high strain rate experiments, dynamic stress equilibrium, and the application of hyperelasticity in various materials.

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Related concepts (32)

Deformation (engineering)

In engineering, deformation refers to the change in size or shape of an object. Displacements are the absolute change in position of a point on the object. Deflection is the relative change in external displacements on an object. Strain is the relative internal change in shape of an infinitesimally small cube of material and can be expressed as a non-dimensional change in length or angle of distortion of the cube. Strains are related to the forces acting on the cube, which are known as stress, by a stress-strain curve.

Work hardening

In materials science, work hardening, also known as strain hardening, is the strengthening of a metal or polymer by plastic deformation. Work hardening may be desirable, undesirable, or inconsequential, depending on the context. This strengthening occurs because of dislocation movements and dislocation generation within the crystal structure of the material. Many non-brittle metals with a reasonably high melting point as well as several polymers can be strengthened in this fashion.

Viscoelasticity

In materials science and continuum mechanics, viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like water, resist shear flow and strain linearly with time when a stress is applied. Elastic materials strain when stretched and immediately return to their original state once the stress is removed. Viscoelastic materials have elements of both of these properties and, as such, exhibit time-dependent strain.

Dynamic mechanical analysis

Dynamic mechanical analysis (abbreviated DMA) is a technique used to study and characterize materials. It is most useful for studying the viscoelastic behavior of polymers. A sinusoidal stress is applied and the strain in the material is measured, allowing one to determine the complex modulus. The temperature of the sample or the frequency of the stress are often varied, leading to variations in the complex modulus; this approach can be used to locate the glass transition temperature of the material, as well as to identify transitions corresponding to other molecular motions.

Inbred strain

Inbred strains (also called inbred lines, or rarely for animals linear animals) are individuals of a particular species which are nearly identical to each other in genotype due to long inbreeding. A strain is inbred when it has undergone at least 20 generations of brother x sister or offspring x parent mating, at which point at least 98.6% of the loci in an individual of the strain will be homozygous, and each individual can be treated effectively as clones.

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