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BOOK REVIEWS

Appl. Mech. Rev. 2001;54(4):B57. doi:10.1115/1.1383668.
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Abstract
Commentary by Dr. Valentin Fuster
Appl. Mech. Rev. 2001;54(4):B58-B59. doi:10.1115/1.1383671.
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Abstract
Topics: Oscillations
Appl. Mech. Rev. 2001;54(4):B59-B60. doi:10.1115/1.1383672.
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Appl. Mech. Rev. 2001;54(4):B60. doi:10.1115/1.1383673.
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Topics: Vibration
Appl. Mech. Rev. 2001;54(4):B60-B61. doi:10.1115/1.1383674.
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Appl. Mech. Rev. 2001;54(4):B61-B63. doi:10.1115/1.1383675.
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Topics: Solids , Solitons
Appl. Mech. Rev. 2001;54(4):B63-B64. doi:10.1115/1.1383676.
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Appl. Mech. Rev. 2001;54(4):B65-B68. doi:10.1115/1.1383679.
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Appl. Mech. Rev. 2001;54(4):B68. doi:10.1115/1.1383680.
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Topics: Fluid dynamics
Appl. Mech. Rev. 2001;54(4):B68-B69. doi:10.1115/1.1383681.
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Appl. Mech. Rev. 2001;54(4):B69-B71. doi:10.1115/1.1383682.
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Appl. Mech. Rev. 2001;54(4):B71. doi:10.1115/1.1383683.
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Appl. Mech. Rev. 2001;54(4):B71-B72. doi:10.1115/1.1383684.
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Appl. Mech. Rev. 2001;54(4):B72-B73. doi:10.1115/1.1383685.
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Appl. Mech. Rev. 2001;54(4):B73-B75. doi:10.1115/1.1383686.
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Appl. Mech. Rev. 2001;54(4):B75-B76. doi:10.1115/1.1383687.
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REVIEW ARTICLES

Appl. Mech. Rev. 2001;54(4):279-300. doi:10.1115/1.1381395.

This article presents a review of the major fatigue models and life time prediction methodologies for fibre-reinforced polymer composites, subjected to fatigue loadings. In this review, the fatigue models have been classified in three major categories: fatigue life models, which do not take into account the actual degradation mechanisms but use S-N curves or Goodman-type diagrams and introduce some sort of fatigue failure criterion; phenomenological models for residual stiffness/strength; and finally progressive damage models which use one or more damage variables related to measurable manifestations of damage (transverse matrix cracks, delamination size). Although this review does not pretend to be exhaustive, the most important models proposed during the last decades have been included, as well as the relevant equations upon which the respective models are based. This review article contains 141 references.

Commentary by Dr. Valentin Fuster
Appl. Mech. Rev. 2001;54(4):301-329. doi:10.1115/1.1385512.

This review article is devoted to the use of the Reissner Mixed Variational Theorem (RMVT) forward two-dimensional modeling of flat and curved, multilayer structures. A thorough review of the literature involving the use in the modeling of multilayered plates and shells using RMVT is also presented. In the first part, the paper overviews relevant key points that should be taken into account for an accurate description of strain and stress fields in multilayered plate and shell analysis. It is then shown that RMVT has been originated in view of the fulfillment of such key points, herein referred to as C0-Requirements (zig-zag form of the displacement fields in the thickness direction and continuity of transverse normal and shear stresses at each layer interface). Classical variational statements are used to introduce Reissner’s Theorem. In the second part, the paper presents various ways in which RMVT can be used to develop plate and shell theories in a systematic manner. The so called layer-wise and equivalent single layer variable description are considered. Both strong and weak (finite element) forms of governing equations have been derived. A Weak Form of Hooke’s Law (WFHL), is also discussed as an idea to eliminate transverse stress variables leading to standard classical models with only displacement unknowns. Two appendices display details of governing equations related to multilayered doubly curved shells and to finite element matrices of multilayered plates. A third part reviews the works that have appeared in literature which make use of RMVT. Mainly papers on multilayered plate and shell modelings have been addressed. The final part of the paper is devoted to giving an overview with selected results of numerical performance that can be acquired by RMVT applications; extensive comparison to elasticity solutions and to other significant analyses, based on classical and refined approaches, are given. It is concluded that Reissner’s Mixed Theorem should be considered as a natural tool for multilayered structure analyses; it plays a similar role to that of the Principle of Virtual Displacement in the analysis of isotropic single-layer structures. This review article includes 119 references.

Commentary by Dr. Valentin Fuster
Appl. Mech. Rev. 2001;54(4):331-390. doi:10.1115/1.1388075.

It is of great importance for the development of new products to find the best possible topology or layout for given design objectives and constraints at a very early stage of the design process (the conceptual and project definition phase). Thus, over the last decade, substantial efforts of fundamental research have been devoted to the development of efficient and reliable procedures for solution of such problems. During this period, the researchers have been mainly occupied with two different kinds of topology design processes; the Material or Microstructure Technique and the Geometrical or Macrostructure Technique. It is the objective of this review paper to present an overview of the developments within these two types of techniques with special emphasis on optimum topology and layout design of linearly elastic 2D and 3D continuum structures. Starting from the mathematical-physical concepts of topology and layout optimization, several methods are presented and the applicability is illustrated by a number of examples. New areas of application of topology optimization are discussed at the end of the article. This review article includes 425 references.

Commentary by Dr. Valentin Fuster

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