[
    {
        "id": "authors:m4q21-kvg38",
        "collection": "authors",
        "collection_id": "m4q21-kvg38",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20120829-153643010",
        "type": "article",
        "title": "A Transformation Method for Implementing Classical Multi-Yield-Surface Theory Using the Hardening Rule of Mroz",
        "author": [
            {
                "family_name": "Chiang",
                "given_name": "Dar-Yun",
                "clpid": "Chiang-D-Y"
            },
            {
                "family_name": "Beck",
                "given_name": "James L.",
                "clpid": "Beck-J-L"
            }
        ],
        "abstract": "A new method for implementing classical multi-yield-surface theory using the kinematic\nhardening rule of Mroz is proposed, in which a response formula describing initial loading is\nintroduced, and further unloading and reloading response is then found by applying a transformation\nto the stress state variables involved in the initial loading formula. The validity of the\nnew formulation is supported by previous experimental results for biaxial cyclic nonproportional\nloading. The rules governing the response behavior under arbitrary loading paths also serve as a\ngeneralization of the Masing model for one-dimensional hysteresis and they provide instructive\ninsight into material behavior in cyclic plasticity. such as the property of erasure of memory.",
        "doi": "10.1016/0020-7683(95)00241-3",
        "issn": "0020-7683",
        "publisher": "Elsevier",
        "publication": "International Journal of Solids and Structures",
        "publication_date": "1996-11",
        "series_number": "28",
        "volume": "33",
        "issue": "28",
        "pages": "4239-4261"
    },
    {
        "id": "authors:ft8wb-wmx53",
        "collection": "authors",
        "collection_id": "ft8wb-wmx53",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20120830-151558645",
        "type": "article",
        "title": "A New Class of Distributed-Element Models for Cyclic Plasticity - Part 1: Theory and Application",
        "author": [
            {
                "family_name": "Chiang",
                "given_name": "D. Y.",
                "clpid": "Chiang-D-Y"
            },
            {
                "family_name": "Beck",
                "given_name": "J. L.",
                "clpid": "Beck-J-L"
            }
        ],
        "abstract": "A class of multi-dimensional Distributed-Element Models is proposed for constitutive modeling in cyclic plasticity. A new formulation in the \"invariant-yield-surface\" space is presented in which no kinematic hardening rule is needed to account for the subsequent yielding and strain hardening behavior. This physically-motivated class of models is not only mathematically simple but also parsimonious in parameters. Validity of the model is confirmed by comparison with experimental results from the literature.",
        "doi": "10.1016/0020-7683(94)90087-6",
        "issn": "0020-7683",
        "publisher": "Elsevier",
        "publication": "International Journal of Solids and Structures",
        "publication_date": "1994-02",
        "series_number": "4",
        "volume": "31",
        "issue": "4",
        "pages": "469-484"
    },
    {
        "id": "authors:n5z9s-06x37",
        "collection": "authors",
        "collection_id": "n5z9s-06x37",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20120830-151031894",
        "type": "article",
        "title": "A New Class of Distributed-Element Models for Cyclic Plasticity - Part 2: On Important Properties of Material Behavior",
        "author": [
            {
                "family_name": "Chiang",
                "given_name": "D. Y.",
                "clpid": "Chiang-D-Y"
            },
            {
                "family_name": "Beck",
                "given_name": "J. L.",
                "clpid": "Beck-J-L"
            }
        ],
        "abstract": "A general theory is developed to elucidate important properties of inelastic material behavior under cyclic multi-axial loading conditions based on the behavior of the new Distributed-Element Models proposed in Part I. By establishing some important theorems on the behavior of the DEMs, the property of erasure-of-memory exhibited by real materials is shown to be closely related to the existence and uniqueness of equilibrium states, which is in turn a consequence of the property that the admissible stress region bounded by the limit surface associated with a Distributed-Element Model is bounded and strictly convex.",
        "doi": "10.1016/0020-7683(94)90088-4",
        "issn": "0020-7683",
        "publisher": "Elsevier",
        "publication": "International Journal of Solids and Structures",
        "publication_date": "1994-02",
        "series_number": "4",
        "volume": "31",
        "issue": "4",
        "pages": "485-496"
    },
    {
        "id": "authors:fztx2-t8z50",
        "collection": "authors",
        "collection_id": "fztx2-t8z50",
        "cite_using_url": "https://resolver.caltech.edu/CaltechEERL:1992.EERL-92-02",
        "type": "monograph",
        "title": "Parsimonious modeling of inelastic systems",
        "author": [
            {
                "family_name": "Chiang",
                "given_name": "Dar-Yun",
                "clpid": "Chiang-D-Y"
            }
        ],
        "abstract": "Analytical modeling of one-dimensional hysteresis and general multi-axial cyclic plasticity is studied, with particular emphasis on the parsimony of model parameters and the physical consistency of model behavior. General criteria for good models are proposed to provide guidelines to the modeling studies conducted in this research.\n\nVarious one-dimensional hysteretic models are examined in detail, including both deteriorating and non-deteriorating models. A general formulation for modeling of degrading systems is presented based on the formulation of the Distributed-Element Model (DEM) and the introduction of a damage index function. A new class of deteriorating Masing models, whose behavior can be completely described by a few simple mathematical rules and the extended Masing rules, is also developed to substitute for a special class of deteriorating DEMs, so that their applicabilty to system identification studies is improved.\n\nThe one-dimensional DEMs are extended to the multi-dimensional case for constitutive modeling of cyclic plasticity, while preserving the concept of modeling plasticity by an assemblage of simple ideal elasto-plastic elements. In the generalization, a new invariant-yield-surface theory is proposed, in which no kinematic hardening rule is needed to account for the subsequent yielding and strain hardening behavior. A general theory is also developed to elucidate some important properties of material behavior based on the proposed multi-dimensional DEMs. The establishment of the theory provides instructive insight into the elastic-plastic response mechanisms of real materials under complicated loading conditions. Based on the insight, the Masing rules for one-dimensional hysteresis are extended to the multi-dimensional case by introducing a composition of plane-geometry transformations to a response formula developed for initial loading. This transformation method serves as an efficient way of implementing the classical multi-yield-surface theory with the Mroz kinematic hardening rule. Validity of the new formulations are confirmed by comparison with experimental results from the literature.",
        "publisher": "California Institute of Technology",
        "publication_date": "1992-01-01"
    }
]