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Journal Articles

A Statistical Distribution Function of Wide Applicability

Waloddi Weibull

J. Appl. Mech. September 1951, 18(3): 293–297.

DOI: https://doi.org/10.1115/1.4010337

Published Online: April 7, 2021

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Topics: Statistical distributions, Statistics

Journal Articles

Discussion: “A Statistical Distribution Function of Wide Applicability” (Weibull, Waloddi, 1951, ASME J. Appl. Mech., 18, pp. 293–297)

R. A. Mugele

J. Appl. Mech. June 1952, 19(2): 233.

DOI: https://doi.org/10.1115/1.4010468

Published Online: April 7, 2021

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Topics: Statistical distributions

Journal Articles

Discussion: “A Statistical Distribution Function of Wide Applicability” (Weibull, Waloddi, 1951, ASME J. Appl. Mech., 18, pp. 293–297)

T. C. Tsu

J. Appl. Mech. June 1952, 19(2): 233.

DOI: https://doi.org/10.1115/1.4010467

Published Online: April 7, 2021

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Topics: Statistical distributions

Journal Articles

Closure to “Discussions of ‘A Statistical Distribution Function of Wide Applicability’” (1952, ASME J. Appl. Mech., 19, pp. 233–234)

Waloddi Weibull

J. Appl. Mech. June 1952, 19(2): 234.

DOI: https://doi.org/10.1115/1.4010470

Published Online: April 7, 2021

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Topics: Statistical distributions

Journal Articles

Discussion: “A Statistical Distribution Function of Wide Applicability” (Weibull, Waloddi, 1951, ASME J. Appl. Mech., 18, pp. 293–297)

F. A. McClintock

J. Appl. Mech. June 1952, 19(2): 233–234.

DOI: https://doi.org/10.1115/1.4010469

Published Online: April 7, 2021

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Topics: Statistical distributions

Journal Articles

Rate-Dependent Scaling of Dynamic Tensile Strength of Quasibrittle Structures

Jia-Liang Le, Jan Eliáš, Anna Gorgogianni, Joshua Vievering, Josef Květoň

J. Appl. Mech. February 2018, 85(2): 021003.

Paper No: JAM-17-1568

DOI: https://doi.org/10.1115/1.4038496

Published Online: December 11, 2017

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Topics: Damage, Failure, Fracture (Materials), Fracture (Process), Simulation, Size effect, Statistics, Stress, Tensile strength, Statistical distributions

Journal Articles

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

Lincong Chen, Jun Liu, Jian-Qiao Sun

J. Appl. Mech. May 2017, 84(5): 051006.

Paper No: JAM-16-1577

DOI: https://doi.org/10.1115/1.4036307

Published Online: April 5, 2017

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Topics: Excitation, Iterative methods, Nonlinear systems, Polynomials, Probability, Statistical distributions, Stochastic systems, White noise, Simulation, Errors

Journal Articles

A Probabilistic Crack Band Model for Quasibrittle Fracture

Jia-Liang Le, Jan Eliáš

J. Appl. Mech. May 2016, 83(5): 051005.

Paper No: JAM-16-1053

DOI: https://doi.org/10.1115/1.4032692

Published Online: February 23, 2016

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Topics: Damage, Fracture (Materials), Fracture (Process), Simulation, Statistical distributions, Energy dissipation

Journal Articles

Finite Element Method for Stochastic Beams Based on Variational Principles

Y.-J. Ren, I. Elishakoff, M. Shinozuka

J. Appl. Mech. September 1997, 64(3): 664–669.

DOI: https://doi.org/10.1115/1.2788944

Published Online: September 1, 1997

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Topics: Finite element methods, Variational principles, Displacement, Stiffness, Finite element analysis, Simulation, Statistical distributions

Journal Articles

The Distribution of Simultaneous Fiber Failures in Fiber Bundles

Per C. Hemmer, Alex Hansen

J. Appl. Mech. December 1992, 59(4): 909–914.

DOI: https://doi.org/10.1115/1.2894060

Published Online: December 1, 1992

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Topics: Failure, Fibers, Stress, Statistical distributions

Journal Articles

Dynamic Response and Buckling Failure Measures for Structures With Bounded and Random Imperfections

H. E. Lindberg

J. Appl. Mech. December 1991, 58(4): 1092–1095.

DOI: https://doi.org/10.1115/1.2897690

Published Online: December 1, 1991

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Topics: Buckling, Dynamic response, Failure, Statistical distributions

Journal Articles

Statistical Theory for Predicting the Failure of Brittle Materials

S. She, J. D. Landes, J. A. M. Boulet, J. E. Stoneking

J. Appl. Mech. March 1991, 58(1): 43–49.

DOI: https://doi.org/10.1115/1.2897177

Published Online: March 1, 1991

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Topics: Brittleness, Failure, Stress, Microcracks, Probability, Fracture (Materials), Fracture (Process), Particulate matter, Steel, Density

Journal Articles

The Effect of Contact Generation on the Elastic Properties of a Granular Medium

Anthony L. Endres

J. Appl. Mech. June 1990, 57(2): 330–336.

DOI: https://doi.org/10.1115/1.2891993

Published Online: June 1, 1990

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Topics: Elasticity, Compression, Granular materials, Hydrostatics, Pressure, Statistical distributions

Journal Articles

On Randomly Excited Hysteretic Structures

G. Q. Cai, Y. K. Lin

J. Appl. Mech. June 1990, 57(2): 442–448.

DOI: https://doi.org/10.1115/1.2892009

Published Online: June 1, 1990

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Topics: Energy dissipation, Excitation, Simulation results, Statistical distributions, White noise

Journal Articles

Probability Distribution of the Eigenvalues of the Random String Equation

R. N. Iyengar, C. S. Manohar

J. Appl. Mech. March 1989, 56(1): 202–207.

DOI: https://doi.org/10.1115/1.3176047

Published Online: March 1, 1989

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Topics: Eigenvalues, Statistical distributions, String, Approximation, Boundary-value problems, Computer simulation, Differential equations, Markov processes

Journal Articles

Equivalent Stochastic Systems

Y. K. Lin, G. Q. Cai

J. Appl. Mech. December 1988, 55(4): 918–922.

DOI: https://doi.org/10.1115/1.3173742

Published Online: December 1, 1988

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Topics: Stochastic systems, Statistical distributions, Dynamic systems, Noise (Sound), Probability, Random excitation, Transients (Dynamics)

Journal Articles

Some Observations on the Random Response of an Elasto-Plastic System

L. G. Paparizos, W. D. Iwan

J. Appl. Mech. December 1988, 55(4): 911–917.

DOI: https://doi.org/10.1115/1.3173741

Published Online: December 1, 1988

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Topics: Brownian motion, Gaussian distribution, Markov processes, Random excitation, Simulation, Statistical distributions

Journal Articles

Exact Stationary Response Solution for Second Order Nonlinear Systems Under Parametric and External White Noise Excitations: Part II

Y. K. Lin, Guoqiang Cai

J. Appl. Mech. September 1988, 55(3): 702–705.

DOI: https://doi.org/10.1115/1.3125852

Published Online: September 1, 1988

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Topics: Excitation, Nonlinear systems, White noise, Probability, Flow (Dynamics), Bifurcation, Density, Limit cycles, Noise (Sound), Statistical distributions

Journal Articles

A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept

C. S. Hsu

J. Appl. Mech. December 1982, 49(4): 895–902.

DOI: https://doi.org/10.1115/1.3162633

Published Online: December 1, 1982

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Topics: Nonlinear dynamical systems, Differential equations, Dynamic systems, Markov processes, Nonlinear systems, Probability, Statistical distributions

Journal Articles

Axial Impact Buckling of a Column With Random Initial Imperfections

I. Elishakoff

J. Appl. Mech. June 1978, 45(2): 361–365.

DOI: https://doi.org/10.1115/1.3424302

Published Online: June 1, 1978

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Topics: Buckling, Displacement, Failure, Statistical distributions

Journal citation

NARROW

A Statistical Distribution Function of Wide Applicability

Discussion: “A Statistical Distribution Function of Wide Applicability” (Weibull, Waloddi, 1951, ASME J. Appl. Mech., 18, pp. 293–297)

Discussion: “A Statistical Distribution Function of Wide Applicability” (Weibull, Waloddi, 1951, ASME J. Appl. Mech., 18, pp. 293–297)

Closure to “Discussions of ‘A Statistical Distribution Function of Wide Applicability’” (1952, ASME J. Appl. Mech., 19, pp. 233–234)

Discussion: “A Statistical Distribution Function of Wide Applicability” (Weibull, Waloddi, 1951, ASME J. Appl. Mech., 18, pp. 293–297)

Rate-Dependent Scaling of Dynamic Tensile Strength of Quasibrittle Structures

Stationary Response Probability Distribution of SDOF Nonlinear Stochastic Systems

A Probabilistic Crack Band Model for Quasibrittle Fracture

Finite Element Method for Stochastic Beams Based on Variational Principles

The Distribution of Simultaneous Fiber Failures in Fiber Bundles

Dynamic Response and Buckling Failure Measures for Structures With Bounded and Random Imperfections

Statistical Theory for Predicting the Failure of Brittle Materials

The Effect of Contact Generation on the Elastic Properties of a Granular Medium

On Randomly Excited Hysteretic Structures

Probability Distribution of the Eigenvalues of the Random String Equation

Equivalent Stochastic Systems

Some Observations on the Random Response of an Elasto-Plastic System

Exact Stationary Response Solution for Second Order Nonlinear Systems Under Parametric and External White Noise Excitations: Part II

A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept

Axial Impact Buckling of a Column With Random Initial Imperfections

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