A Generalized Method for Estimating Multiaxial Elastic-Plastic Notch Stresses and Strains, Part 1: Theory

1985 ◽  
Vol 107 (4) ◽  
pp. 250-254 ◽  
Author(s):  
M. Hoffmann ◽  
T. Seeger
Keyword(s):  
Approximation Method ◽  
Stress And Strain ◽  
Strain Component ◽  
Multiaxial Stress ◽  
Elastic Plastic ◽  
Theory Of Plasticity ◽  
Notch Stress ◽  
Approximation Formulas ◽  
Strain Relationship ◽  
Stress States

The well known approximation formulas valid for uniaxial notch stresses are extended to multiaxial stress states in order to establish a load - equivalent notch stress and strain relationship. The correlation between equivalent and principal notch stresses and strains is obtained by applying theory of plasticity in combination with an assumption concerning one stress or strain component. The approximation method is summarized in a solution scheme. Finally aspects of accuracy are discussed.

Unified Approach for Notch Stress Strain Conversion Rules

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
R. Adibi-Asl ◽  
R. Seshadri
Keyword(s):  
Interpolation Method ◽  
Notch Root ◽  
Three Dimensional ◽  
Stress And Strain ◽  
Unified Approach ◽  
Stress Strain ◽  
Elastic Plastic ◽  
Strain Behavior ◽  
Notch Stress ◽  
Conversion Rules

There are several simplified methods, known as notch stress-strain conversion (NSSC) rules that provide an approximate formula to relate local elastic-plastic stresses and strains at the notch root to those estimated elastically. This paper investigates a unified approach that estimates nonlinear and history dependent stress-strain behavior of the notches using the conventional NSSC rules. A nonlinear interpolation method is adopted to estimate the elastic-plastic stress and strain at notches. A comparison is made between the finite element results for several notch configurations (with and without three-dimensional effects) and those obtained from NSSC rules and the proposed formulation.

Elastic-Plastic Solutions for Notched Shafts in Torsion

1966 ◽  
Vol 33 (1) ◽  
pp. 79-84 ◽  
Author(s):  
E. A. Davis ◽  
I. S. Tuba
Keyword(s):  
Plastic Zone ◽  
Strain Distribution ◽  
Stress And Strain ◽  
Stress Strain ◽  
Hollow Shaft ◽  
Elastic Plastic ◽  
Plastic Analysis ◽  
Strain Relationship ◽  
Stress And Strain Distribution

An elastic-plastic analysis of the stress and strain distribution in a solid or hollow shaft containing external or internal hyperbolic notches is presented. The solution can be applied for any stress-strain relationship and for various specified amounts of plastic-zone penetration.

Prediction of Brittle Fracture Under Generalised Elastic Plastic Loading

2008 ◽  
Author(s):  
S. J. Lewis ◽  
C. E. Truman ◽  
D. J. Smith
Keyword(s):  
Fracture Mechanics ◽  
Brittle Fracture ◽  
Ferritic Steel ◽  
Failure Prediction ◽  
J Integral ◽  
Local Approach ◽  
Elastic Plastic ◽  
Failure Data ◽  
Stress States ◽  
Plastic Loading

This article describes an investigation into the ability of a number of different fracture mechanics approaches to predict failure by brittle fracture under general elastic/plastic loading. Data obtained from C(T) specimens of A508 ferritic steel subjected to warm pre-stressing and side punching were chosen as such prior loadings produce considerably non-proportionality in the resulting stress states. In addition, failure data from a number of round notched bar specimens of A508 steel were considered for failure with and without prior loading. Failure prediction, based on calibration to specimens in the as received state, was undertaken using two methods based on the J integral and two based on local approach methodologies.

scholarly journals Relationship Between Rockwell C Hardness and Inelastic Material Constants

2002 ◽  
Vol 124 (2) ◽  
pp. 179-184 ◽  
Author(s):  
Akihiko Hirano ◽  
Masao Sakane ◽  
Naomi Hamada
Keyword(s):  
Finite Element ◽  
Friction Coefficient ◽  
Strain Hardening ◽  
Yield Stress ◽  
Plastic Material ◽  
Stress And Strain ◽  
Material Constants ◽  
Elastic Plastic ◽  
Elastic Plastic Material ◽  
Hardening Coefficient

This paper describes the relationship between Rockwell C hardness and elastic-plastic material constants by using finite element analyses. Finite element Rockwell C hardness analyses were carried out to study the effects of friction coefficient and elastic-plastic material constants on the hardness. The friction coefficient and Young’s modulus had no influence on the hardness but the inelastic materials constants, yield stress, and strain hardening coefficient and exponent, had a significant influence on the hardness. A new equation for predicting the hardness was proposed as a function of yield stress and strain hardening coefficient and exponent. The equation evaluated the hardness within a ±5% difference for all the finite element and experimental results. The critical thickness of specimen and critical distance from specimen edge in the hardness testing was also discussed in connection with JIS and ISO standards.

scholarly journals Hysteretic Behavior of Geopolymer Concrete with Active Confinement Subjected to Monotonic and Cyclic Axial Compression: An Experimental Study

Materials ◽  
2020 ◽  
Vol 13 (18) ◽  
pp. 3997 ◽  
Author(s):  
Huailiang Wang ◽  
Yuhui Wu ◽  
Min Wei ◽  
Lang Wang ◽  
Baoquan Cheng
Keyword(s):  
Failure Modes ◽  
Peak Stress ◽  
Hysteretic Behavior ◽  
Stress And Strain ◽  
Geopolymer Concrete ◽  
Cement Concrete ◽  
Cyclic Compression ◽  
Stress States ◽  
Loading Modes ◽  
Good Agreement

This paper investigated the performance of actively confined geopolymer concrete (GPC) through experiments. The mechanical properties of GPC under triaxial stress states were analyzed and discussed from the prospects of failure modes, axial peak stress and strain, monotonic and cyclic constitutive relationships. The experimental results demonstrated that the loading modes (monotonic loading and cyclic loading) had little effect on the failure mode and axial peak stress and strain. The improvement of the strength and ductility of GPC with the increase in confinement level was consistent with that of the conventional cement concrete while the strain enhancement of confined GPC was lower than that of confined conventional cement concrete at the same confinement level. The curves of the monotonic stress–strain and the envelop of cyclic compression were predicted through Mander’s model with good accuracy. The unloading/reloading models proposed by Lokuge were modified and the predicted cyclic hysteresis curves for actively confined GPC were in good agreement with the cyclic compression results. Findings from this study provide references for the application of geopolymer concrete.

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