Secant Modulus Method for Determining Plate Instability Above the Proportional Limit

1946 ◽  
Vol 13 (1) ◽  
pp. 38-44 ◽  
Author(s):  
GEORGE GERARD
Keyword(s):  
Secant Modulus ◽  
Proportional Limit ◽  
Modulus Method

Critical Shear Stress of Plates Above the Proportional Limit

1948 ◽  
Vol 15 (1) ◽  
pp. 7-12
Author(s):  
George Gerard
Keyword(s):  
Shear Stress ◽  
Aluminum Alloys ◽  
Critical Shear Stress ◽  
Experimental Program ◽  
Shear Stresses ◽  
Secant Modulus ◽  
Proportional Limit ◽  
Stress Equation ◽  
Compressive Stresses ◽  
Modulus Method

Abstract The secant-modulus method previously used for determining critical compressive stresses above the proportional limit has been extended for use in determining critical shear stresses above the proportional limit. The method was confirmed by an experimental program designed to check the use of the shear-secant modulus in the critical-shear-stress equation. Nondimensional critical-shear-stress design curves are presented for use with aluminum alloys.

Nonlinear Analysis of Foundation Settlement by Modified Secant Modulus Method

2012 ◽  
Vol 594-597 ◽  
pp. 259-265
Author(s):  
Ren Ping Li
Keyword(s):  
Summation Method ◽  
Load Test ◽  
Additional Stress ◽  
Secant Modulus ◽  
Test Results ◽  
Loading Test ◽  
Correction Technique ◽  
Total Settlement ◽  
Modulus Method ◽  
A New Technique

A new technique namely modified secant modulus method（MSMM）considering time factor for nonlinear settlement computation of foundation is proposed. The principle of MSMM is using correction technique of reverse solution to solve modified secant modulus (MSM) of subsoil under different additional stress level with load-settlement test data, and the additional stress is solved with Boussinesq elasticity theory, then layer wise summation method is adopt to calculate the total settlement of foundation. The loading test results of footings performed by Briaud and Gibbens (1993) on sand foundation are analyzed with MSMM. Normalized settlement curves over width versus pressure for all footings can be obtained in normalization processing, and the calculation curve agrees well with the normalization curves. The loads of Q25 and Q150 corresponding to the settlements of 25mm and 150mm respectively of different size footings are calculated and the errors of them are within 10% compared with testing results, and the creep exponents of 3m south and north footing for 30 minutes load test were 0.036 and 0.030, then the calculated total settlement in 2014 (20 years later) will be 39.6 and 36.7mm respectively.

Modelling and solvability of a class steady-state metal-forming problems

2014 ◽  
Vol 3 (4) ◽  
Author(s):  
T. A. Angelov
Keyword(s):  
Steady State ◽  
Metal Forming ◽  
Computational Algorithm ◽  
Material Model ◽  
Secant Modulus ◽  
Rigid Plastic ◽  
Existence And Uniqueness Results ◽  
Rate Dependent ◽  
Uniqueness Results ◽  
Modulus Method

AbstractFor a class of steady-state metal-forming problems, with rigid-plastic, incompressible, strain-rate dependent material model and with unilateral contact and nonlocal Coulomb’s frictional boundary conditions, a variational inequality formulation is derived and by proving the convergence of a modified secant-modulus method, existence and uniqueness results are obtained. A finite element - modified secant-modulus computational algorithm is developed and applied for solving illustrative problems.

ANALYSIS OF A CLASS RIGID-PLASTIC ROLLING PROBLEMS BY A MODIFIED SECANT-MODULUS METHODS

2012 ◽  
Vol 04 (01) ◽  
pp. 1250011 ◽  
Author(s):  
T. A. ANGELOV
Keyword(s):  
Material Model ◽  
Unilateral Contact ◽  
Secant Modulus ◽  
Rigid Plastic ◽  
Coulomb’S Friction ◽  
Existence And Uniqueness Results ◽  
Rate Dependent ◽  
Uniqueness Results ◽  
Steady State Rolling ◽  
Modulus Method

For a class of steady-state rolling problems, with rigid-plastic, slightly compressible, strain-rate-dependent material model and with unilateral contact and nonlocal Coulomb's friction, variational inequality formulations are derived. A modification of the secant-modulus method is proposed, its convergence is proved and existence and uniqueness results are obtained. An algorithm, combining the finite element and the modified secant-modulus method, is proposed and an illustrative rolling problem is solved.

scholarly journals Nonlinear conservation laws for the Schrödinger boundary value problems of second order

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ming Ren ◽  
Shiwei Yun ◽  
Zhenping Li
Keyword(s):  
Cauchy Problem ◽  
Conservation Laws ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Maximum Modulus ◽  
Second Order ◽  
Nonlinear Conservation Laws ◽  
The Cauchy Problem ◽  
Modulus Method ◽  
Semilinear Schrödinger Equation

AbstractIn this paper, we apply a reliable combination of maximum modulus method with respect to the Schrödinger operator and Phragmén–Lindelöf method to investigate nonlinear conservation laws for the Schrödinger boundary value problems of second order. As an application, we prove the global existence to the solution for the Cauchy problem of the semilinear Schrödinger equation. The results reveal that this method is effective and simple.

Proportional limit of wood obtained from a load-time diagram during an impact bending test

2002 ◽  
Vol 48 (6) ◽  
pp. 527-531
Author(s):  
Yoshitaka Kubojima ◽  
Hideo Kato ◽  
Mario Tonosaki
Keyword(s):  
Bending Test ◽  
Time Diagram ◽  
Proportional Limit ◽  
Impact Bending
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