Calculation of Stress-Strain State and Contact Stresses in the Process of Chip Formation

2021 ◽  
Vol 313 ◽  
pp. 59-65
Author(s):  
A.V. Proskokov ◽  
A.S. Yanyushkin
Keyword(s):  
Stress State ◽  
Plastic Zone ◽  
Chip Formation ◽  
Strain State ◽  
Plane Stress State ◽  
Contact Stresses ◽  
Field Pattern ◽  
Plasticity Zone ◽  
Calculation Data ◽  
Tangential Stresses

The reported paper presents a field pattern of sliding lines in a plastic zone of flow chip formation in the process of cutting metals considered for front and rear angles on the cutting blade other than zero. Equations of sliding lines for these conditions are proposed. Using calculation data, plasticity zone border lines are plotted for positive and negative front angles. The paper suggests methods and calculation data on average stress and plane stress state components in nodal points of the plastic zone of chip formation. The study provides data for plotting distribution diagrams of normal and tangential stresses of contact stresses on work surfaces of a cutting blade.

scholarly journals DETERMINISTIC ANALYTICAL MODEL OF RESISTANCE TO DEEP CONTACT FATIGUE OF A STRESSED MATERIAL

2021 ◽  
Vol 3 (56) ◽  
pp. 52-60
Author(s):  
Sergei P. RUDENKO ◽  
◽  
Sergei G. SANDOMIRSKI ◽  
Keyword(s):  
Surface Layer ◽  
Stress State ◽  
Analytical Model ◽  
Structural Characteristics ◽  
Contact Fatigue ◽  
Contact Stresses ◽  
Radius Of Curvature ◽  
Tangential Stresses ◽  
Surface Contact ◽  
Tooth Surfaces

The stress state of the surface layer in the contact zone of the mating teeth of cylindrical gears is considered. It is shown that under contact loading, the stress state of the surface layer is inhomogeneous and changes with the distance from the surface. It is established that the value of the equivalent tangential stresses does not depend on the standard size of the gears, but is determined by the surface contact stresses σH. Moreover, the depth of occurrence of the maximum equivalent tangential stresses depends on the gear modulus (the reduced radius of curvature of the mating surfaces of the teeth) and, to a lesser extent, on the surface contact stresses σH. The inhomogeneity of the stress state and the structural characteristics of the diffusion layers of surface-hardened gears is a prerequisite for the appearance of critical zones in them, in which fatigue processes of contact failure can originate and develop. A deterministic analytical model of the resistance to deep contact fatigue of hardened tooth surfaces is proposed, based on determining the service life of the gear before the appearance of progressive deep contact chipping of the active tooth surfaces with a regulated variation of the microhardness values in different zones of the diffusion layer.

The Influence of Strain Conditions in Steel Samples on the Fatigue Crack Growth and Delay after Overload

2014 ◽  
Vol 224 ◽  
pp. 151-156
Author(s):  
Krzysztof Werner
Keyword(s):  
Growth Rate ◽  
Fatigue Crack ◽  
Stress State ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Strain State ◽  
Plane Stress State ◽  
Test Results ◽  
Single Overload ◽  
Flat Steel

The work presents the results of the analysis of fatigue crack growth in flat steel samples for different strain conditions on crack tip in the sample. Growth of fatigue crack in the samples was studied in conditions of a plane strain state, plane stress state and in the transitory zone between those states. Test results showed a clear influence of these conditions on the fatigue crack growth rate. The paper also includes the test results of effectiveness of retardation of fatigue crack growth after single overload cycles used in different strain conditions.

Model of Equal-Stressed Cylinder Based on the Mohr Failure Criterion

2014 ◽  
Vol 887-888 ◽  
pp. 869-872 ◽  
Author(s):  
Vladimir I. Andreev ◽  
Anton S. Chepurnenko ◽  
Batyr M. Jazyev
Keyword(s):  
Stress State ◽  
Internal Pressure ◽  
Plane Strain ◽  
Plane Stress ◽  
Failure Criterion ◽  
Strain State ◽  
Elasticity Modulus ◽  
Plane Stress State ◽  
Analytical Dependence ◽  
Equivalent Stresses

In this article, an analytical dependence of distribution of elasticity modulus across the thickness of the cylinder loaded with internal pressure p, at which the equivalent stresses according the Mohr failure criterion are the same at all points. The problem is solved for the cases of plane strain state and plane stress state in the elastic formulation.

scholarly journals Incremental Approach to the Nonlinear Analysis of Reinforcement Concrete with Cracks at Plane Stress State

2015 ◽  
Vol 111 ◽  
pp. 386-389 ◽  
Author(s):  
Nikolay I. Karpenko ◽  
Sergey N. Karpenko ◽  
Aleksey N. Petrov ◽  
Zakhar A. Voronin ◽  
Anna V. Evseeva
Keyword(s):  
Stress State ◽  
Nonlinear Analysis ◽  
Plane Stress ◽  
Plane Stress State ◽  
Incremental Approach

scholarly journals Buckling of regular, chiral and hierarchical honeycombs under a general macroscopic stress state

2014 ◽  
Vol 470 (2167) ◽  
pp. 20130856 ◽  
Author(s):  
Babak Haghpanah ◽  
Jim Papadopoulos ◽  
Davood Mousanezhad ◽  
Hamid Nayeb-Hashemi ◽  
Ashkan Vaziri
Keyword(s):  
Finite Element ◽  
Stress State ◽  
Closed Form ◽  
Plane Stress ◽  
Plane Stress State ◽  
Cellular Structures ◽  
Two Dimensional ◽  
Buckling Strength ◽  
Macroscopic Stress ◽  
Unit Cells

An approach to obtain analytical closed-form expressions for the macroscopic ‘buckling strength’ of various two-dimensional cellular structures is presented. The method is based on classical beam-column end-moment behaviour expressed in a matrix form. It is applied to sample honeycombs with square, triangular and hexagonal unit cells to determine their buckling strength under a general macroscopic in-plane stress state. The results were verified using finite-element Eigenvalue analysis.

Low-Cycle Strength of Elements of Constructions

2018 ◽  
Author(s):  
Alexander Zvorykin ◽  
Roman Popov ◽  
Mykola Bobyr ◽  
Igor Pioro
Keyword(s):  
Stress State ◽  
Plane Stress ◽  
Low Cycle Fatigue ◽  
Plane Stress State ◽  
Structural Elements ◽  
Cycle Fatigue ◽  
Kinematic Equation ◽  
Effective Coefficients ◽  
Operational Life ◽  
Cycle Loading

Analysis of engineering approach to the operational life forecasting for constructional elements with respect to the low-cycle fatigue is carried out. Applicability limits for a hypothesis on existence of generalized cyclic-deforming diagram in case of complex low-cycle loading (deforming) are shown. It is determined, that under condition of plane-stress state and piecewise-broken trajectories of cycle loading with stresses and deformation checking the cyclic deforming diagram is united in limits of deformations, which are not exceeded 10 values of deformation corresponding material yield point. Generalized kinematic equation of material damageability is described. The method of damageability parameter utilization for increasing of accuracy calculation of structural elements low-cycle fatigue by using the effective coefficients of stresses and deformations taking into account the damageability parameter is given.

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