| Description |
1 online resource (viii, 225 pages) : illustrations |
| Series |
Series on advances in mathematics for applied sciences ; v. 55 |
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Series on advances in mathematics for applied sciences ; v. 55.
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| Contents |
Introduction -- Symbolic notation -- ch. I. General mesomechanical model ofheterogeneous, statistically homogeneous materials -- ch. II. Models of materials with statistically isotropic structure. II. 1. General features of the model. II. 2. General model of two-phase materials. II. 3. Discussion of separability of deviatoric and isotropic responses of the mesoscopic stress- and strain-components. II. 4. Demonstrative stress-strain diagrams for two-phase materials. II. 5. Relation between our two-phase model and the exact bounds for macroscopic elastic moduli. II. 6. Confrontation with some theoretical solutions for two-phase materials -- ch. III. Plasticity of polycrystalline metals. III.l. Small deformations. III. 2. Finite deformations, continuum damage and localization -- ch. IV. Time-dependent deformation. IV. 1. Application to creep of concrete -- ch. V. Fracturing. V.1. Quasihomogeneous stable microfracturing. V.2. Localized cracking in concrete -- ch. VI. Shape memory. VI. 1. Shape memory resulting from heterogeneity on the atomic scale. VI. 2. Pseudoelasticity. VI. 3. One-way shape memory effect. VI. 4. Two-way shape memory effect. VI. 5. Discussion of our model for shape memory -- ch. VII. Transversely isotropic materials. VII. 1. Transversely isotropic two-phase mode. VII. 2. Transversely isotropic materials with unidirectional continuous fibers -- ch. VIII. Appendices |
| Summary |
This monograph presents an original concept of constitutive modeling of a wide variety of materials that are microscopically heterogeneous and macroscopically homogeneous. From one point of view it is a generalization of the fictitious classical 'series' and 'parallel' models; the author's model covers as special cases real structures of two-phase materials with inclusions in a matrix, or with both substructures being continuous or discontinuous. From another point of view it is a special case of a model with tensorial internal variables. Concrete structures are characterized by specific structural parameters that can be determined by simple macroscopic tests. Examples of applications to plasticity, reology, shape memory and continuum damage, as well as to metallic polycrystalline materials and concrete and fiber-reinforced materials, are demonstrated |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Strength of materials -- Mathematical models
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Strains and stresses -- Mathematical models
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SCIENCE -- Nanoscience.
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Strains and stresses -- Mathematical models
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Strength of materials -- Mathematical models
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Deformationsverhalten
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Mathematisches Modell
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Werkstoffprüfung
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| Form |
Electronic book
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| ISBN |
9789812791825 |
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9812791825 |
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