Numerical Solutions of Two-Dimensional Elastic, Plastic Problems by Conformal Mapping and Finite-Difference Method : 1st Report, Elastic Solution of a Strip with Circular Notches under Tension
スポンサーリンク
概要
- 論文の詳細を見る
In this research, a numerical method for treating two-dimensional elastic, plastic problems is presented, in which the region of any given body is mapped into a lattice region by means of conformal mapping, and then the finite-difference method is applied. In this first report, the elastic problem of a circularly notched strip under tension is treated. To this problem, H. Politsky has once applied a method similar to the method in this study. Therefore, the authors try to improve his method in accuracy and extent of its applicability. The calculated results coincide well with Kikukawa's experimental data in maximum stress values as well as in the stress distribution, and also with Wolf's approximate solutions with regard to the stress gradient at the notch bottom.
- 一般社団法人日本機械学会の論文
著者
-
Kitagawa Hiroshi
Division For Research Of Engineering Graduate School Osaka University.
-
Hamada Minoru
Faculty Of Engineering Osaka Univercity
-
Hamada Minoru
Faculty O F Engineering Osaka University
関連論文
- Deformation and Stresses of Flat-Oval Bourdon Tubes
- Large Deflection Analysis of Circular Ring Plates under Uniform Transverse Force along the Inner Edge
- A Method for Calculation of Stress Intensity Factor by Finite Difference Method
- Strength of U-Shaped Bellows : 3rd Report, Case of Loading of Internal Pressure
- Strength of U-Shaped Bellows : 1st Report, Case of Axial Loading
- Strength of U-Shaped Bellows : 5th Report, Fatigue Strength under Axial Loading
- Strength of U-Shaped Bellows : Supplement, Design Formulas and Charts for the Case of Axial Loading
- Strength of U-Shaped Bellows : 2nd Report, Case of Axial Loading-Continued
- A Numerical Method of Hankel Transform for Axisymmetric Problems of Elasticity
- Collapse Pressure for the Pressure Vessel Consisting of a Cylindrical Shell, a Toroidal Shell and a Rigid Circular Plate
- A Method for the Calculation of the Stress Intensity Factor by the Finite Difference Method (2nd Report, Tension Problem of a Strip Plate with an Extended Circular Hole) : Series A : Solid-Mechanics, Strength of Materials
- Ratio of Flank Loads of Screw Threads in Hollow-bolt
- Stresses in Bolt and Nut : Effects of Contact Conditions at the First Ridge
- A Stress Analysis of Threaded Portions in Fastening
- Stress Concentration of a Cylindrical Shell with One or Two Circular Holes
- On the Stress Concentration in a Strip with Two Circular Holes Subjected to Tension
- Tension of a Circular Cylinder Containing a Spherical Cavity
- Axisymmetric Tension of an Infinite Body Containing a Series of Spherical Cavities
- Axisymmetric Tension of an Infinite Body Containing Two Spherical Cavities
- Bending Problems of Annular Plates : 2nd Report, The Case of an Eccentrically Concentrated Load and an Asymmetrical-Linearly Distributed Load : Solid-Mechanics, Strength of Materials
- A New Approach to Bending Problems of Circular Plates with Mixed Boundary Conditions
- Analysis of Expansion Joints of Pressure Vessels
- Thermal Stress Concentrations in the Transient Two-dimensional Temperature Field : 2nd Report, Plate with a Semi-elliptic Notch
- An Optimal Design of Beam with Variable Cross Section : Design of Cantilever by Dynamic Programming
- Shape Determination Problems of Structures by the Inverse Variational Principle : 2nd Report, Buckling and Vibration Problems
- On the Strength of a Disk Spring
- Application of Three Shell Theories for Bending Problems of Axisymmetric Shells : 2nd Report, Modified Flugge's Theory and Donnell's Theory
- A Numerical Method Considering the Bauschinger Effect for Large Deflection Analysis of Elastic-Plastic Circular Plates
- A Numerical Method for Solving Elastic-Plastic Problems of Rotationally Symmetric Shells
- A Consideration on the Low-Cycle Fatigue Life of Bellows : The Fatigue Life under Completely-Reversed-Deflection Cycles
- A Numerical Method for Solving Elastic-Plastic Problems of Rotationally Symmetric Shells : 2nd Report, Comparison of Analytical Results with Experimental Ones
- On the Strength of Toroidal Shells : 1st Report, A Proposition on the Solutions
- Thermal Stress Concentrations in the Transient Two-Dimensional Temperature Field : Plate with a Semi-circular Notch
- On the Strength of Toroidal Shells : 2nd Report, Examples of Application of the Solutions
- Applications of Three Shell Theories for Bending Problems of Axisymmetric Shells
- Free Vibration Problems of Pressurized Axisymmetric Shells
- Numerical Solutions of Two-Dimensional Elastic, Plastic Problems by Conformal Mapping and Finite-Difference Method : 3rd Report, Elasto-Plastic Torsion of Circumferentially Grooved Shafts
- Compressive or Shearing Buckling Load and Fundamental Frequency of a Rhomboidal Plate with All Edges Clamped
- Fundamental Frequency of an Isosceles-triangular Plate
- A Numerical Calculation by Finite Difference Method for Free Vibration Problem of Axisymmetric Shells
- On the Numerical Solutions of the Naghdi's Equations for the Axially Symmetric Shell
- Stress Analysis around Circular Hole in Infinite Plate with Rigid Disk : Case of Load Applied to Disk
- Researches on the Strength of Wheel Disc
- Numerical Solutions of Two-Dimensional Elastic, Plastic Problems by Conformal Mapping and Finite-Difference Method : 2nd Report, Elastic Torsion of Circumferentially Grooved Shafts
- Buckling of Simply Supported but Partially Clamped Rectangular Plates Uniformly Compressed in One Direction
- Bending of a Circular Plates with Many Circular Holes : Case of Circular Holes with Free Edges
- A Solution for Non-Linear Buckling Problems of the General Axisymmetric Shell : Buckling Problems of the Head of a Pressure Vessel due to Internal Pressure and of the U-Shaped Bellows due to Tension : Series A : Solid-Mechanics, Strength of Materials
- In-plane Torsional Buckling of an Annular Plate
- Bending Deformation of U-Shaped Bellows
- Tensile and Compressive Stress Problems for a Circular Disk in an Infinite Plate
- Statical Deflection of a Rhomboidal Plate with Clamped Edges Subjected to Uniformly Distributed Pressure
- Numerical Solutions of Two-Dimensional Elastic, Plastic Problems by Conformal Mapping and Finite-Difference Method : 1st Report, Elastic Solution of a Strip with Circular Notches under Tension
- Effects of Friction in Tensile and Compressive Stress Problems for a Rigid Circular Disk in an Infinite Plate
- A Suggestion regarding the Problem of Large Deflection of Plates
- On the Stress Concentration in a Strip with a Row of Circular Holes Subjected to In-plane-bending
- On the Stress Concentration in a Strip with a Row of Circular Holes Subjected to Tension
- A Numerical Method for the Limit Analysis of General Shells of Revolution
- Spin--Charge Coupling in the Molecular Conductor (DIETSe)
- Changeover of the Thermodynamic Behavior for Hydrogen Storage in Rh with Increasing Nanoparticle Size