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    A Perspective on Plasticity, Dissipation and the Second Law of Thermodynamics 

    Source: Journal of Applied Mechanics:;2024:;volume( 091 ):;issue: 006:;page 61003-1
    Author(s): Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The requirement of a non-negative dissipation rate for all possible deformation histories is generally imposed on plastic constitutive relations. This is a constraint analogous to the Coleman–Noll [Coleman, B. D., and Noll, ...
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    The Effect of Rate Dependence on Localization of Deformation and Failure in Softening Solids 

    Source: Journal of Applied Mechanics:;2015:;volume( 082 ):;issue: 002:;page 21002
    Author(s): Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Localization of deformation and failure, a complete loss of stress carrying capacity, is studied for two rate dependent constitutive relations: (i) a Kelvin–Voigt solid and (ii) a viscoplastic solid. A planar block ...
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    Influence of Assumed Strain Hardening Relation on Plastic Stress-Strain Response Identification From Conical Indentation 

    Source: Journal of Engineering Materials and Technology:;2020:;volume( 142 ):;issue: 003
    Author(s): Zhang, Yupeng; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Instrumented indentation tests provide an attractive means for obtaining data to characterize the plastic response of engineering materials. One difficulty in doing this is that the relation between the measured indentation ...
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    Non-Quadratic Strain Gradient Plasticity Theory and Size Effects in Constrained Shear 

    Source: Journal of Applied Mechanics:;2023:;volume( 090 ):;issue: 012:;page 121004-1
    Author(s): Kuroda, Mitsutoshi; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A previously proposed strain gradient plasticity theory is extended to incorporate a non-quadratic power law function of the plastic strain gradient in the free energy expression with an exponent of N + 1. The values of N ...
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    Effect of Properties and Turgor Pressure on the Indentation Response of Plant Cells 

    Source: Journal of Applied Mechanics:;2018:;volume( 085 ):;issue: 006:;page 61007
    Author(s): Tvergaard, Viggo; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The indentation of plant cells by a conical indenter is modeled. The cell wall is represented as a spherical shell consisting of a relatively stiff thin outer layer and a softer thicker inner layer. The state of the interior ...
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    Identification of Plastic Properties From Conical Indentation Using a Bayesian-Type Statistical Approach 

    Source: Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 001:;page 11002
    Author(s): Zhang, Yupeng; Hart, Jeffrey D.; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The plastic properties that characterize the uniaxial stress–strain response of a plastically isotropic material are not uniquely related to the indentation force versus indentation depth response. We consider results for ...
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    Influence of Grain Size Distribution on Ductile Intergranular Crack Growth Resistance 

    Source: Journal of Applied Mechanics:;2020:;volume( 087 ):;issue: 003:;page 031008-1
    Author(s): Molkeri, Abhilash; Srivastava, Ankit; Osovski, Shmuel; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The influence of grain size distribution on ductile intergranular crack growth resistance is investigated using full-field microstructure-based finite element calculations and a simpler model based on discrete unit events ...
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    Uniaxial Tension of a Class of Compressible Solids With Plastic Non Normality 

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004:;page 40912
    Author(s): Mohan, Nisha; Cheng, Justine; Greer, Julia R.; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Motivated by a model that qualitatively captured the response of vertically aligned carbon nanotube (VACNT) pillars in uniaxial compression, we consider the uniaxial tensile response of a class of compressible elasticviscoplastic ...
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    Limits on Transformation Strains for Non-Negative Dissipation 

    Source: Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 005:;page 51005
    Author(s): Vasoya, Manish; Kondori, Babak; Benzerga, Ahmed Amine; Needleman, Alan
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We consider the maximum value of the magnitude of transformation strain for an Eshelby inclusion set by the requirement of non-negative dissipation. The general formulation for a linear elastic solid shows that the dissipation ...
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    Limits on Transformation Strains for Non-Negative Dissipation 

    Source: Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 005:;page 51005
    Author(s): Vasoya, Manish; Kondori, Babak; Benzerga, Ahmed Amine; Needleman, Alan
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: We consider the maximum value of the magnitude of transformation strain for an Eshelby inclusion set by the requirement of non-negative dissipation. The general formulation for a linear elastic solid shows that the dissipation ...
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