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Elastic‐Plastic Waves
This chapter focuses on the one‐dimensional (1D) elastic‐plastic stress wave propagating in an elastic‐plastic material. The elastic wave speed is constant, but the plastic stress wave speed is a function of strain or a function of stress. Most engineering materials have a stress‐strain curve (σ‐ε) that is concave downwards, reflecting a decreasingly strain‐hardening material, so that the larger the stress or strain, the slower the speed of the stress wave. The chapter shows a typical stress‐strain curve for an engineering material under tension. After an elastic deformation stage, the material will yield at yield strain, corresponding to yield stress. If the applied tensile stress is high, the material will undergo plastic deformation. The chapter explains the reason for the localization of the plastic deformed zone and the size of the plastic deformation region and the amplitude of plastic residual strain are found depending on the impact velocity by adopting an elastic, linear strain‐hardening material model.
Elastic‐Plastic Waves
This chapter focuses on the one‐dimensional (1D) elastic‐plastic stress wave propagating in an elastic‐plastic material. The elastic wave speed is constant, but the plastic stress wave speed is a function of strain or a function of stress. Most engineering materials have a stress‐strain curve (σ‐ε) that is concave downwards, reflecting a decreasingly strain‐hardening material, so that the larger the stress or strain, the slower the speed of the stress wave. The chapter shows a typical stress‐strain curve for an engineering material under tension. After an elastic deformation stage, the material will yield at yield strain, corresponding to yield stress. If the applied tensile stress is high, the material will undergo plastic deformation. The chapter explains the reason for the localization of the plastic deformed zone and the size of the plastic deformation region and the amplitude of plastic residual strain are found depending on the impact velocity by adopting an elastic, linear strain‐hardening material model.
Elastic‐Plastic Waves
Yu, T.X. (author) / Qiu, XinMing (author)
Introduction to Impact Dynamics ; 19-38
2018-01-08
20 pages
Article/Chapter (Book)
Electronic Resource
English
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