Constitutive Relations for Materials at High Strain Rates

Constitutive Relations for Materials at High Strain Rates PDF Author:
Publisher:
ISBN:
Category : Materials
Languages : en
Pages :

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Constitutive Relations for Materials at High Strain Rates

Constitutive Relations for Materials at High Strain Rates PDF Author:
Publisher:
ISBN:
Category : Materials
Languages : en
Pages :

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Book Description


Constitutive Relation in High/Very High Strain Rates

Constitutive Relation in High/Very High Strain Rates PDF Author: Kozo Kawata
Publisher: Springer Science & Business Media
ISBN: 4431659471
Category : Science
Languages : en
Pages : 259

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Book Description
The IUTAM Symposium on Constitutive Relation in High/Very High Strain Rates (CRHVHSR) was held October 16 - 19, 1995, at Seminar House, Science University of Tokyo, under the sponsorship of IUTAM, Japan Society for the Promotion of Science, The Commemorative Association for the Japan World Exposition (1970), Inoue Foundation for Science, The Japan Society for Aeronautical and Space Sciences, and Science University of Tokyo. The proposal to hold the symposium was accepted by the General Assembly of IUT AM held in Haifa, Israel, in August 1992, and the scientists mentioned below were appointed by the Bureau of IUTAM to serve as members of the Scientific Committee. The main object of the symposium was to make a general survey of recent developments in the research of constitutive relations in high and very high strain rates and related problems in high velocity solid mechanics, and to explore further new ideas for dealing with unresolved problems of a fundamental nature as well as of practical importance. The subjects covered theoretical, experimental, and numerical fields in the above-mentioned problems in solids, covering metals, polymers, ceramics, and composites. Emphasis was given to the following fields: 1. Material characterization of solids in high velocity deformation, experimental techniques, typical data obtained by these techniques, modeling, and constitutive relations 2. Strain rate dependent elasto-visco-plastic stress waves 3. Crack initiation, propagation, and dynamic fracture toughness 4. Dynamic stress concentration 5. Structural dynamics in impact and constitutive relations of solids 6.

Metallurgical Effects at High Strain Rates

Metallurgical Effects at High Strain Rates PDF Author: R. Rohde
Publisher: Springer Science & Business Media
ISBN: 1461586968
Category : Technology & Engineering
Languages : en
Pages : 696

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Book Description
A conference on Metallurgical Effects at High Strain Rates was held at Albuquerque, New Mexico, February 5 through 8, 1973, under joint sponsorship of Sandia Laboratories and the Physical Metallurgy Committee of The Metallurgical Society of AIME. This book presents the written proceedings of the meeting. The purpose of the conference was to gather scientists from diverse disciplines and stimulate interdisciplinary discussions on key areas of materials response at high strain rates. In this spirit, it was similar to one of the first highly successful con ferences on this subject held in 1960, in Estes Park, Colorado, on The Response of Metals to High Velocity Deformation. The 1973 conference was able to demonstrate rather directly the increased understanding of high strain rate effects in metals that has evolved over a period of roughly 12 years. In keeping with the interdisciplinary nature of the meeting, the first day was devoted to a tutorial session of invited papers to provide attendees of diverse backgrounds with a common basis of understanding. Sessions were then held with themes centered around key areas of the high strain rate behavior of metals.

Advances in Constitutive Relations Applied in Computer Codes

Advances in Constitutive Relations Applied in Computer Codes PDF Author: Janusz R. Klepaczko
Publisher: Springer Science & Business Media
ISBN: 3211997091
Category : Technology & Engineering
Languages : en
Pages : 323

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Book Description
Many important industrial applications incline toward better understanding of the constitutive properties of matter. Nowadays, the development of measurement possibilities, even in nanoscale, allows for multiscale formulations that drive to the more sophisticated models used in continuum mechanics. These phenomenological models are particularly important and useful for solutions of very concrete initial boundary value problems. Our interests are focused mainly on detailed descriptions of material behavior that depend not only on simple stress-strain relationships but also includes the strong influence of loading type, which introduces temperature, strain rate dependence, fracture, etc. Understanding these physics phenomena is of fundamental importance for successful and responsible computations. In particular, using the popular commercial programs requires deep understanding of constitutive formulations and their restrictions. These lectures are addressed to industrial users who are responsible for making crucial decisions in design, as well as, to young scientists who work on new models that describe the behavior of materials which also account the new influences and reflect the complexity of the material behavior. At the end, let me express my gratitude to the lecturers of the CISM course No. 328 on “Advances in Constitutive Relations Applied in Computer Codes”, held in Udine in July 2007, who finally prepared the included materials. Unfortunately, during the preparation and collecting papers for this book, our friend and colleague Prof. Janusz R. Klepaczko passed away. This is a very big loss for the society of mechanics.

Constitutive Relations for Materials at High Rates of Strain

Constitutive Relations for Materials at High Rates of Strain PDF Author: Jonathan Paul Noble
Publisher:
ISBN:
Category : Materials
Languages : en
Pages : 450

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Constitutive Relations under Impact Loadings

Constitutive Relations under Impact Loadings PDF Author: Tomasz Lodygowski
Publisher: Springer Science & Business Media
ISBN: 3709117682
Category : Science
Languages : en
Pages : 290

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Book Description
The book describes behavior of materials (ductile, brittle and composites) under impact loadings and high strain rates. The three aspects: experimental, theoretical and numerical are in the focus of interest. Hopkinson bars are mainly used as experimental devices to describe dynamic behavior of materials. The precise description of experimental techniques and interpretation of wave interaction are carefully discussed. Theoretical background refers to rate dependent thermo viscoplastic formulation. This includes the discussion of well posedness of initial boundary value problems and the solution of the system of governing equations using numerical methods. Explicit time integration is used in computations to solve dynamic problems. In addition, many applications in aeronautic and automotive industries are exposed.

Nonlinear Constitutive Relations for High Temperature Applications, 1986

Nonlinear Constitutive Relations for High Temperature Applications, 1986 PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 502

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Constitutive Equations of Rubber Under Large Tensile Strain and High Strain Rates

Constitutive Equations of Rubber Under Large Tensile Strain and High Strain Rates PDF Author: Xin Ouyang
Publisher:
ISBN:
Category : Mechanical engineering
Languages : en
Pages : 145

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Book Description
"Based on a detailed experimental investigation, new hyper-viscoelastic constitutive models for describing the high strain rate behavior of the elastomers have been developed. Uniaxial tensile tests and sheet tension tests were performed at strain rates ranging from 0.1 s-1 to 450 s-1 by use of an Instron electro-mechanical machine and a Charpy tensile test apparatus. The constitutive models were based on a phenomenonlogical Zener model: a hyperelastic equilibrium spring, which describes the steady-state, long-term response, in parallel with a Maxwell element, which captures the rate-dependency. The rate-dependence of the Maxwell element is controlled by a nonlinear viscous damper connected in series to a hyperelastic intermediate spring. A fractional power-law strain energy potential function was proposed for the hyperelastic springs in order to describe the steep initial gradient of the stress-extension ratio curves that result under high strain rate. Two kinds of constitutive equations were proposed using a history integral and differential approach. The history integral constitutive law was developed based on Kaye-BKZ theory. Multiplicative decomposition of the deformation gradient and the second law of thermodynamics were used to develop the differential constitutive equations. All material constants were obtained from the uniaxial tensile tests. The constitutive equations were implemented into ABAQUS via user-defined material subroutines. The history integral constitutive equation was difficult to implement in FEA because numerical integration had to be performed at every time step. Numerical predictions of the tensile strip and sheet force-deformation response were at best within 14% of experimental values. The differential constitutive equations based on thermodynamics principle was not only easier to implement, but gave solutions that were within 5% of test results."--abstract.

Unified Plasticity for Engineering Applications

Unified Plasticity for Engineering Applications PDF Author: Sol R. Bodner
Publisher: Springer Science & Business Media
ISBN: 1461505518
Category : Science
Languages : en
Pages : 126

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Book Description
Considerably simplified models of macroscopic material behavior, such as the idealization for metals of elastic-time independent plastic response with a yield (onset) criterion, have served the engineering profession well for many years. They are still basic to the design and analysis of most structural applications. In the need to use materials more effectively, there are circumstances where those traditional models are not adequate, and constitutive laws that are more physically realistic have to be employed. This is especially relevant to conditions where the inherent time dependence of inelastic deformations, referred to as "viscoplasticity", is pronounced such as at elevated temperatures and for high strain rates. Unified theories of elastic-viscoplastic material behavior, which are primarily applicable for metals and metallic alloys, combine all aspects of inelastic response into a set of time dependent equations with a single inelastic strain rate variable. For such theories, creep under constant stress, stress relaxation under constant strain, and stress-strain relations at constant rates are each special cases of a general formulation. Those equations mayor may not include a yield criterion, but models which do not separate a fully elastic region from the overall response could be considered "unified" in a more general sense. The theories have reached a level of development and maturity where they are being used in a number of sophisticated engineering applications. However, they have not yet become a standard method of material representation for general engineering practice.

Mechanical Properties of Materials at High Rates of Strain, 1989

Mechanical Properties of Materials at High Rates of Strain, 1989 PDF Author: John Harding
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 608

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Book Description
Comprises invited and contributed papers in the major areas of impact engineering: dynamic fracture; void growth and ductile fracture; shear banding; experimental methods of material characterization; constitutive modelling of material behavior; numerical modelling; microstructural effects at high rates of strain; impact of ceramics; impact of composites; dynamic plastic response of structures; nuclear industry applications; and aerospace applications. No subject index. Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)