Book ChapterDOI
Simple Shear of Porous Materials at Large Strains
D. Durban,O. Yagel +1 more
- pp 335-342
TLDR
In this paper, an early suggestion by Schleicher (1926) for the plastic yield condition of porous materials reads {fy(1)|335-1} where τ = ((3/2)S··S)1/2 is the Mises effective stress, S = σ − pI is the stress deviator, σ is the Cauchy stress tensor, I = (1/3)I··σ is the hydrostatic stress and (YC,YT) are the uniaxial yield stresses in compression and in tensionAbstract:
An early suggestion by Schleicher (1926) for the plastic yield condition of porous materials reads {fy(1)|335-1} where τ = ((3/2)S··S)1/2 is the Mises effective stress, S = σ − pI is the stress deviator, σ — the Cauchy stress tensor, I — the 2nd order unit tensor, p = (1/3)I··σ is the hydrostatic stress and (YC,YT) are the uniaxial yield stresses in compression and in tension, respectively.read more
Citations
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Journal ArticleDOI
Plastic response of porous solids with pressure sensitive matrix
TL;DR: In this paper, a practical straightforward procedure is suggested for constructing the yield surface of solids containing voids embedded in a pressure sensitive matrix, based on expanding yield function in powers of porosity ratio f, with zero order term describing the void free matrix.
References
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Journal ArticleDOI
Soil mechanics and plastic analysis or limit design
D. C. Drucker,W. Prager +1 more
Journal ArticleDOI
Spherical Cavity Expansion in a Drucker-Prager Solid
David Durban,Norman A. Fleck +1 more
TL;DR: In this article, a finite strain analysis is presented for the pressurized spherical cavity embedded in a Drucker-Prager medium, where material behavior is modeled by a nonassociated deformation theory which accounts for arbitrary strain-hardening.
Book ChapterDOI
On the Stability of Shear Bands
Ray W. Ogden,P. Connor +1 more
TL;DR: In this article, the formation of shear bands has been predicted for a variety of models describing either plastic or nonlinearly elastic response, and the phenomenon is associated with loss of ellipticity of the governing partial differential equations of equilibrium and involves the use of non-convex stored energy functions.
Journal ArticleDOI
A comparative study of simple shear at finite strains of elastoplastic solids
TL;DR: In this paper, three different J 2 constitutive relations with isotropic hardening are employed; the usual flow and deformation theories and the hypoelastic deformation type theory.
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