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continuum mechanics

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Book Chapter

Book: Machining
Series: ASM Handbook
Volume: 16
Publisher: ASM International
Published: 01 January 1989
DOI: 10.31399/asm.hb.v16.a0002172
EISBN: 978-1-62708-188-7
... Abstract This article discusses the mechanics of chip formation and reviews the analytical modeling of the chip formation process by high-speed machining within the framework of continuum mechanics. It examines the relationship between the various high-speed machining parameters. The article...
Book Chapter

By Niels Bay
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005581
EISBN: 978-1-62708-174-0
... Abstract Plastic deformation of one or both metals is required to obtain bonding in cold welding. This article presents a theoretical model, to explain the bond strength, based on metallographic studies and continuum mechanical analysis of the local plastic deformation in the weld interface...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005431
EISBN: 978-1-62708-196-2
... methods. This article introduces the methods of so-called meshed solutions, with an emphasis on the FEM. It presents some basic differential equations that are used to model the responses of structures, components, processes, or systems with emphasis on continuum mechanics. The article provides an outline...
Image
Published: 15 December 2019
Fig. 4 Mechanism for x-ray bremsstrahlung (continuum) emission with simulated characteristic and continuum x-ray spectrum as generated for carbon More
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.a0006033
EISBN: 978-1-62708-175-7
... Abstract This article discusses continuum modeling, which is the most relevant approach in modeling grain growth, densification, and deformation during sintering. Continuum plasticity models are frequently used to describe the mechanical response of metal powders during compaction. The article...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002348
EISBN: 978-1-62708-193-1
... In design for fatigue and damage tolerance, one of two initial assumptions is often made about the state of the material. Both of these are related to the need to invoke continuum mechanics to make the stress/strain/fracture mechanics analysis tractable: The material is an ideal homogeneous...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005168
EISBN: 978-1-62708-186-3
... for both continuum and crystal-plasticity mechanics are also discussed. The article also provides various examples that illustrate the simulation of aluminum sheet forming. aluminum alloy sheet metals aluminum sheet forming compressive instability continuum mechanics crystal-plasticity mechanics...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006807
EISBN: 978-1-62708-329-4
... temperatures. The article describes the stages of the creep curve, discusses processes involved in the extrapolation of creep data, and summarizes notable creep constitutive models and continuum damage mechanics models. It demonstrates the effects of stress relaxation and redistribution on the remaining life...
Image
Published: 01 January 1997
between nodes 2 and 3. (b) Simulating a rigid body. For a rigid body motion Δθ, u 2 = u 1 L sinθ Δθ and v 2 = v 1 + L cos θΔθ. The motion of node 2 is constrained to that of point 1. (c) Joining structural elements to continuum elements. (1) Solid continuum elements with three translational More
Image
Published: 01 December 2009
) Solid continuum elements with three translational degrees of freedom per node only. (2) These nodes are slaved to nodes immediately above and below them in order to prevent simulation of the mechanism (hinge). (3) Plate element with bending stiffness (three translational degrees of freedom, two More
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005520
EISBN: 978-1-62708-197-9
... both the benefits and drawbacks of each class. These classes include criteria functions, analytical models, continuum models, and kinetic models. The article also tabulates the criteria functions for porosity prediction. mechanical properties porosity solidification THE SOLIDIFICATION...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005424
EISBN: 978-1-62708-196-2
... the symmetries are anisotropies of the mechanical properties, both elastic and plastic, of the individual crystals. Anisotropy is evident even at the continuum scale in aggregates of crystals having preferred orientations of the crystal lattices, known as crystallographic texture. The behaviors observed during...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005502
EISBN: 978-1-62708-197-9
.... In building toward this goal, various simulation types have been evaluated: Monte Carlo, finite difference, discrete element, finite element, fluid mechanics, continuum mechanics, neural network, and adaptive learning. Unfortunately, the input data and some of the basic relations are not well developed...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002443
EISBN: 978-1-62708-194-8
... to continuum elements. (1) Solid continuum elements with three translational degrees of freedom per node only. (2) These nodes are slaved to nodes immediately above and below them in order to prevent simulation of the mechanism (hinge). (3) Plate element with bending stiffness (three translational degrees...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001348
EISBN: 978-1-62708-173-3
... is that there is no simple connection between condensed matter theory, micromechanics, and continuum mechanics. The following discussion briefly reviews some of the available technical literature that describes the use of these spectroscopies and their application to bimaterial systems. Photoelectron spectroscopy has...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005528
EISBN: 978-1-62708-197-9
... initiation and propagation in the simulation of blanking processes by Hambli ( Ref 18 , 19 ) and Miguel et al. ( Ref 20 ). The LeMaitre damage model follows the framework of continuum damage mechanics models that assume a homogeneous distribution of microvoids and is based on the hypothesis of strain...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005587
EISBN: 978-1-62708-174-0
... are sufficiently smooth, then this is a well-posed problem and the mathematics is well understood. The aforementioned continuum mechanics problem can be solved by an FEM approximation. In particular, the total strain rate is approximated by: (Eq 26) ∈ ˙ Tot = B u ˙ where u...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001480
EISBN: 978-1-62708-173-3
... force, traction, strain, and displacement fields are sufficiently smooth, then this is a well-posed problem and the mathematics is well understood. The above continuum mechanics problem can be solved by an FEM approximation. In particular, the total strain is approximated by: (Eq 26) ϵ ˙ Tot...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005531
EISBN: 978-1-62708-197-9
.... Linear continuum models include linear elastic finite element, heat transfer, and fluid mechanics, which can be applied to product design, tool design, PIM simulation, and continuum approaches to sintering. Nonlinear continuum models involve FEA of nonlinear materials, which are used for simulations...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005544
EISBN: 978-1-62708-197-9
... stresses. Scientific Forming Technologies Corporation www.deform.com DYNA3D DYNA3D is an explicit finite-element program for structural/continuum mechanics problems. It uses small time steps to integrate the equations of motion and is efficient in solving transient dynamic problems. The material...