TY - CHAP
TI - Determination of soil subsidence due to well pumping by numerical analysis
AU - Kashef, A. A. I.
AU - Chang, K. R.
T2 - Determination of soil subsidence due to well pumping by numerical analysis
PY - 1977///
SP - 167
ER -
TY - JOUR
TI - APPLICATION OF A DISCRETE POLYCRYSTAL MODEL TO ANALYSIS OF CYCLIC STRAINING IN COPPER
AU - HAVNER, KS
AU - SINGH, C
T2 - INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
AB - Abstract A discrete polycrystal model, designed to simulate a metal aggregate macro-element, is applied to the study of cyclic straining in copper. The numerical method of solution (an adaptation of the “finite element method”) incorporates a convergent discrete Green's function within the constrained minimum principle which governs the (crystallographic) plastic shear increments at each load step. Isothermal elastic moduli of copper crystals and Taylor's hardening rule with constant hardening modulus are used in the calculations. Numerical results are obtained for macroscopic elastic properties, cyclic stress-strain curves (which indicate the contribution of aggregate heterogeneity to macroscopic hardening), macroscopic plastic work, and residual (latent) strain energy through four loading cycles between fixed macrostrain limits. Other estimates for elastic properties also are included, and all results are compared, both qualitatively and quantitatively, with published experiments. The predictions of the model are in general satisfactory.
DA - 1977///
PY - 1977///
DO - 10.1016/0020-7683(77)90035-x
VL - 13
IS - 5
SP - 395-407
SN - 0020-7683
ER -
TY - JOUR
TI - UNIQUENESS CRITERIA AND MINIMUM PRINCIPLES FOR CRYSTALLINE SOLIDS AT FINITE STRAIN
AU - HAVNER, KS
T2 - ACTA MECHANICA
DA - 1977///
PY - 1977///
DO - 10.1007/BF01208794
VL - 28
IS - 1-4
SP - 139-151
SN - 0001-5970
ER -
TY - JOUR
TI - UNIFICATION, UNIQUENESS AND NUMERICAL-ANALYSIS IN PLASTICITY
AU - HAVNER, KS
T2 - INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
AB - Abstract This paper addresses various aspects of a theory of multiple-mode plastic straining which unifies constitutive equations of macroscopic solids and single crystals (for both strain-hardening and strain-softening behavior). Emphasis is given to the determination of minimal criteria for uniqueness of solution to incremental boundary value problems based upon the general theory. It is established that these criteria are sufficient to assure convergence of the finite element method in such problems.
DA - 1977///
PY - 1977///
DO - 10.1016/0020-7683(77)90045-2
VL - 13
IS - 7
SP - 625-635
SN - 0020-7683
ER -
TY - JOUR
TI - SIMPLE MATHEMATICAL-THEORY OF FINITE DISTORTIONAL LATENT HARDENING IN SINGLE-CRYSTALS
AU - HAVNER, KS
AU - SHALABY, AH
T2 - PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
AB - A simple (one-parameter) hardening law is proposed which accounts for the perpetuation of finite single slip, beyond the symmetry line, in the tensile test of f. c. c. crystals and reduces to Taylor’s rule at infinitesimal strain. This new law emerges as the simplest case of a general mathematical theory of finite deformation of elastic-plastic crystals. The fully anisotropic finite-distortional hardening of latent slip systems predicted by the simple theory is in qualitative agreement with experiment.
DA - 1977///
PY - 1977///
DO - 10.1098/rspa.1977.0186
VL - 358
IS - 1692
SP - 47-70
SN - 1364-5021
ER -