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    Internal Length Scale of Weakest-Link Statistical Model for Quasi-Brittle Fracture 

    Source: Journal of Engineering Mechanics:;2018:;Volume ( 144 ):;issue: 004
    Author(s): Le Jia-Liang;Xu Zhifeng;Eliáš Jan
    Publisher: American Society of Civil Engineers
    Abstract: Anchored by the theory of extreme value statistics, Weibull distribution is the most widely used mathematical model for strength distribution of brittle structures. In a series of recent studies, a finite weakest-link model ...
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    Stochastic Buckling of Geometrically Imperfect Beams on Elastic Foundation 

    Source: Journal of Applied Mechanics:;2022:;volume( 090 ):;issue: 001:;page 11003
    Author(s): Baizhikova, Zheren;Le, JiaLiang;Ballarini, Roberto
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Geometrical imperfections are ubiquitous in loadbearing structures, including beams, columns, and shells. Fabrication processes of structural members most often create geometrical imperfections of random size and shape, ...
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    A Renewal Weakest-Link Model of Strength Distribution of Polycrystalline Silicon MEMS Structures 

    Source: Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 008:;page 81005
    Author(s): Xu, Zhifeng; Ballarini, Roberto; Le, Jia-Liang
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: Experimental data have made it abundantly clear that the strength of polycrystalline silicon (poly-Si) microelectromechanical systems (MEMS) structures exhibits significant variability, which arises from the random ...
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    Stochastic Buckling of Geometrically Imperfect Beams on Elastic Foundation 

    Source: Journal of Applied Mechanics:;2022:;volume( 090 ):;issue: 001:;page 11003-1
    Author(s): Baizhikova, Zheren; Le, Jia-Liang; Ballarini, Roberto
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Geometrical imperfections are ubiquitous in load-bearing structures, including beams, columns, and shells. Fabrication processes of structural members most often create geometrical imperfections of random size and shape, ...
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    Application of J-Integral to a Random Elastic Medium 

    Source: Journal of Applied Mechanics:;2025:;volume( 092 ):;issue: 003:;page 31006-1
    Author(s): Eliáš, Jan; Martinásek, Josef; Le, Jia-Liang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This study investigates the use of the J-integral to compute the statistics of the energy release rate of a random elastic medium. The spatial variability of the elastic modulus is modeled as a homogeneous lognormal random ...
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    Rate-Dependent Scaling of Dynamic Tensile Strength of Quasibrittle Structures 

    Source: Journal of Applied Mechanics:;2018:;volume( 085 ):;issue: 002:;page 21003
    Author(s): Le, Jia-Liang; Eliáš, Jan; Gorgogianni, Anna; Vievering, Joshua; Květoň, Josef
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper investigates the effect of strain rate on the scaling behavior of dynamic tensile strength of quasibrittle structures. The theoretical framework is anchored by a rate-dependent finite weakest link model. The ...
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    Mechanism-Based Energy Regularization in Computational Modeling of Quasibrittle Fracture 

    Source: Journal of Applied Mechanics:;2020:;volume( 087 ):;issue: 009:;page 091003-1
    Author(s): Gorgogianni, Anna; Eliáš, Jan; Le, Jia-Liang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Quasibrittle materials are featured by a strain-softening constitutive behavior under many loading scenarios, which could eventually lead to localization instability. It has long been known that strain localization would ...
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