Author
Erhard Krempl
Bio: Erhard Krempl is an academic researcher from Rensselaer Polytechnic Institute. The author has contributed to research in topics: Viscoplasticity & Stress (mechanics). The author has an hindex of 27, co-authored 69 publications receiving 3084 citations.
Papers published on a yearly basis
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Book•
01 Jan 2010
TL;DR: This new edition offers expanded coverage of the subject matter both in terms of details and contents, providing greater flexibility for either a one or two-semester course in either continuum mechanics or elasticity, and contains expanded and improved problem sets providing both intellectual challenges and engineering applications.
Abstract: Continuum Mechanics is a branch of physical mechanics that describes the macroscopic mechanical behavior of solid or fluid materials considered to be continuously distributed. It is fundamental to the fields of civil, mechanical, chemical and bioengineering. This time-tested text has been used for over 35 years to introduce junior and senior-level undergraduate engineering students, as well as graduate students, to the basic principles of continuum mechanics and their applications to real engineering problems. The text begins with a detailed presentation of the coordinate invariant quantity, the tensor, introduced as a linear transformation. This is then followed by the formulation of the kinematics of deformation, large as well as very small, the description of stresses and the basic laws of continuum mechanics. As applications of these laws, the behaviors of certain material idealizations (models) including the elastic, viscous and viscoelastic materials, are presented. This new edition offers expanded coverage of the subject matter both in terms of details and contents, providing greater flexibility for either a one or two-semester course in either continuum mechanics or elasticity. Although this current edition has expanded the coverage of the subject matter, it nevertheless uses the same approach as that in the earlier editions - that one can cover advanced topics in an elementary way that go from simple to complex, using a wealth of illustrative examples and problems. It is, and will remain, one of the most accessible textbooks on this challenging engineering subject. It offers significantly expanded coverage of elasticity in Chapter 5, including solutions of some 3-D problems based on the fundamental potential functions approach. It includes a new section at the end of Chapter 4 devoted to the integral formulation of the field equations. Seven new appendices appear at the end of the relevant chapters to help make each chapter more self-contained. This book contains expanded and improved problem sets providing both intellectual challenges and engineering applications.
1,268 citations
TL;DR: In this article, the inelastic deformation behaviors of metals and polymers are discussed with the aim of finding a common base that would simplify academic and engineering analyses, and only monotonic loading conditions at room temperature are considered.
179 citations
115 citations
TL;DR: The viscoplasticity theory based on overstress (VBO) can model unusual loading rate effects as discussed by the authors, including rate-insensitivity and positive and negative rate sensitivity, and it is possible to have only rate-dependent contributions to the flow stress.
102 citations
TL;DR: An isotropic formulation of the viscoplasticity theory for small strain and based on overstress with a differential growth law for the equilibrium stress is introduced in this paper, where the four material constants and the two material functions of the theory are determined from uniaxial tensile tests involving strain-rate changes at room temperature and performed on a 6061 T6 Aluminum Alloy.
69 citations
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TL;DR: In this paper, the cyclic constitutive equations developed and used at ONERA and LMT-Cachan are presented in detail in terms of a hierarchy of various models, including the Ohno-Kachi time-independent plasticity theory, two unified viscoplastic models by Walker and by Krempl and Yao, the new developments of the endochronic theory by Watanabe and Atluri.
1,446 citations
TL;DR: In this paper, the main ingredients and assumptions of developing macroscopic inelastic constitutive equations, mainly for metals and low strain cyclic conditions, have been discussed, with some comparisons with the previous ones, including more recent developments that offer potential new capabilities.
1,414 citations
TL;DR: In this paper, three different approaches are considered for the description of kinematic behavior: (i) the use of independent multi-yield surfaces, (ii) models with two surfaces only, (iii) the so-called "nonlinear-kinematic hardening rule" defined by a differential equation.
1,377 citations
TL;DR: In this article, the authors consider several special kinematic hardening rules and their properties in tension-compression and select a particular rule which offers a good compromise, describing both the shape of the normal cyclic stress-strain relations and the ratchetting results.
856 citations
TL;DR: A Glimpse at Set Theory: The Topology of Cartesian Spaces and the Functions of One Variable.
Abstract: A Glimpse at Set Theory. The Real Numbers. The Topology of Cartesian Spaces. Convergence. Continuous Functions. Functions of One Variable. Infinite Series. Differentiation in RP Integration in RP.
621 citations