Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level.\nIntroductory Finite Element Method examines both structural analysis and flow (heat and fluid) applications in a presentation specifically designed for upper-level undergraduate and beginning graduate students, both within and outside of the engineering disciplines. It includes a chapter on variational calculus, clearly presented to show how the functionals for structural analysis and flow problems are formulated. The authors provide both one- and two-dimensional finite element codes and a wide range of examples and exercises. The exercises include some simpler ones to solve by hand calculation-this allows readers to understand the theory and assimilate the details of the steps in formulating computer implementations of the method.\nAnyone interested in learning to solve boundary value problems numerically deserves a straightforward and practical introduction to the powerful FEM. Its clear, simplified presentation and attention to both flow and structural problems make Introductory Finite Element Method the ideal gateway to using the FEM in a variety of applications.

Introduction to the Finite Element Method: A Numerical Method for Engineering Analysis

Desai, Chandrakant S.

Abel, John F.

Van Nostrand-Reinhold Co.

Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level. Introductory Finite Element Method examines both structural analysis and flow (heat and fluid) applications in a presentation specifically designed for upper-level undergraduate and beginning graduate students, both within and outside of the engineering disciplines. It includes a chapter on variational calculus, clearly presented to show how the functionals for structural analysis and flow problems are formulated. The authors provide both one- and two-dimensional finite element codes and a wide range of examples and exercises. The exercises include some simpler ones to solve by hand calculation-this allows readers to understand the theory and assimilate the details of the steps in formulating computer implementations of the method. Anyone interested in learning to solve boundary value problems numerically deserves a straightforward and practical introduction to the powerful FEM. Its clear, simplified presentation and attention to both flow and structural problems make Introductory Finite Element Method the ideal gateway to using the FEM in a variety of applications.

Introductory Finite Element Method (Mechanical and Aerospace Engineering Series)

Science & Math

Kundu, Tribikram

Mathematics

CRC-Press

The disturbed state concept (DSC) is a unified, constitutive modelling approach for engineering materials that allows for elastic, plastic, and creep strains, microcracking and fracturing, stiffening or healing, all within a single, hierarchical framework. Its capabilities go well beyond other available material models yet lead to significant simplifications for practical applications. Until now, however, there has been no resource that fully describes the theory, techniques, and potential of this powerful method. Mechanics of Materials and Interfaces: Disturbed State Concept presents a detailed theoretical treatment of the DSC and shows that it can provide a unified and simplified approach for mathematical characterization of the mechanical response of materials and interfaces. Within this comprehensive treatment, the author: 
<li>Compares the DSC with other available models 
</li>
<li>Identifies the physical meaning of the relevant parameters and presents procedures to determine them from laboratory test data 
</li>
<li>Validates the DSC models with respect to laboratory tests used to find the parameters and independent tests not used in the calibration 
</li>
<li>Implements the models in computer procedures 
</li>
<li>Validates those procedures by comparing predictions with observations from simulated and field boundary value problems 
</li>
<li>Solves problems from a variety of disciplines, including civil, mechanical, and electrical engineering If you are involved in the mechanics of materials, you owe it to yourself to explore the disturbed state concept. Mechanics of Materials and Interfaces provides the first-and to date, the only-comprehensive means of doing so.</li>

Mechanics of Materials and Interfaces: The Disturbed State Concept

Soil-structure interaction is an area of major importance in geotechnical engineering and geomechanics Advanced Geotechnical Engineering: Soil-Structure Interaction using Computer and Material Models covers computer and analytical methods for a number of geotechnical problems. It introduces the main factors important to the application of computer methods and constitutive models with emphasis on the behavior of soils, rocks, interfaces, and joints, vital for reliable and accurate solutions. This book presents finite element (FE), finite difference (FD), and analytical methods and their applications by using computers, in conjunction with the use of appropriate constitutive models; they can provide realistic solutions for soil–structure problems. A part of this book is devoted to solving practical problems using hand calculations in addition to the use of computer methods. The book also introduces commercial computer codes as well as computer codes developed by the authors. <ul>
<li>Uses simplified constitutive models such as linear and nonlinear elastic for resistance-displacement response in 1-D problems</li> <li>Uses advanced constitutive models such as elasticplastic, continued yield plasticity and DSC for microstructural changes leading to microcracking, failure and liquefaction </li> <li>Delves into the FE and FD methods for problems that are idealized as two-dimensional (2-D) and three-dimensional (3-D)</li> <li>Covers the application for 3-D FE methods and an approximate procedure called multicomponent methods</li> <li>Includes the application to a number of problems such as dams , slopes, piles, retaining (reinforced earth) structures, tunnels, pavements, seepage, consolidation, involving field measurements, shake table, and centrifuge tests</li> <li>Discusses the effect of interface response on the behavior of geotechnical systems and liquefaction (considered as a microstructural instability)</li> </ul> This text is useful to practitioners, students, teachers, and researchers who have backgrounds in geotechnical, structural engineering, and basic mechanics courses.

Advanced Geotechnical Engineering: Soil-Structure Interaction using Computer and Material Models

Engineering & Transportation

Zaman, Musharraf

Engineering

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