Inelastic Deformation (inelastic + deformation)

Distribution by Scientific Domains


Selected Abstracts


Inside Front Cover: A Unique Microcracking Process Associated with the Inelastic Deformation of Haversian Bone (Adv. Funct.

ADVANCED FUNCTIONAL MATERIALS, Issue 1 2009
Mater.
Human cortical bone is capable of adapting to the mechanical environment through dynamic remodeling of the Haversian systems. The presence of Haversian canals, however, also introduces stress concentration and could have detrimental effects on the fracture resistance of bone. How is the hierarchical structure in bone designed to alleviate such stress concentrations? On page 57, Vincent Ebacher and Rizhi Wang report a unique and stable microcracking process accompanying the inelastic deformation of Haversian bone. The results lead to the critical role of the well-organized bone lamellae surrounding each Haversian canal. [source]


A Unique Microcracking Process Associated with the Inelastic Deformation of Haversian Bone

ADVANCED FUNCTIONAL MATERIALS, Issue 1 2009
Vincent Ebacher
Abstract Since the discovery of the Haversian system in human bone over three hundred years ago, researchers have been wondering about its mechanical advantages. Despite positive experimental evidences on the intervention of Haversian systems in the fracture process, the contributions of Haversian systems to bone fracture have been obscure. Here a unique microcracking process accompanying the inelastic deformation of Haversian bone is reported that may shine light on its structural advantages over other bones. When compressed transversely, the concentric bone lamellae surrounding each Haversian canal allow multiple radial microcracks and arc-shaped cracks to develop intralamellarly. Groups of circumferential arc-shaped microcracks develop in high shear zones and radiate out in oblique directions from each Haversian canal. At the cortical bone level, where the Haversian systems are randomly distributed within the interstitial matrix, multiple nucleations and stable development of such arc-shaped cracks happen to most Haversian systems progressively. As a result, Haversian bone is not sensitive to the presence of Haversian canals and demonstrates high inelastic strains at macroscopic level. [source]


Estimation of seismic drift and ductility demands in planar regular X-braced steel frames

EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Issue 15 2007
Theodore L. Karavasilis
Abstract This paper summarizes the results of an extensive study on the inelastic seismic response of X-braced steel buildings. More than 100 regular multi-storey tension-compression X-braced steel frames are subjected to an ensemble of 30 ordinary (i.e. without near fault effects) ground motions. The records are scaled to different intensities in order to drive the structures to different levels of inelastic deformation. The statistical analysis of the created response databank indicates that the number of stories, period of vibration, brace slenderness ratio and column stiffness strongly influence the amplitude and heightwise distribution of inelastic deformation. Nonlinear regression analysis is employed in order to derive simple formulae which reflect the aforementioned influences and offer a direct estimation of drift and ductility demands. The uncertainty of this estimation due to the record-to-record variability is discussed in detail. More specifically, given the strength (or behaviour) reduction factor, the proposed formulae provide reliable estimates of the maximum roof displacement, the maximum interstorey drift ratio and the maximum cyclic ductility of the diagonals along the height of the structure. The strength reduction factor refers to the point of the first buckling of the diagonals in the building and thus, pushover analysis and estimation of the overstrength factor are not required. This design-oriented feature enables both the rapid seismic assessment of existing structures and the direct deformation-controlled seismic design of new ones. A comparison of the proposed method with the procedures adopted in current seismic design codes reveals the accuracy and efficiency of the former. Copyright © 2007 John Wiley & Sons, Ltd. [source]


Hysteretic energy spectrum and damage control

EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Issue 12 2001
Rafael Riddell
Abstract The inelastic response of single-degree-of-freedom (SDOF) systems subjected to earthquake motions is studied and a method to derive hysteretic energy dissipation spectra is proposed. The amount of energy dissipated through inelastic deformation combined with other response parameters allow the estimation of the required deformation capacity to avoid collapse for a given design earthquake. In the first part of the study, a detailed analysis of correlation between energy and ground motion intensity indices is carried out to identify the indices to be used as scaling parameters and base line of the energy dissipation spectrum. The response of elastoplastic, bilinear, and stiffness degrading systems with 5 per cent damping, subjected to a world-wide ensemble of 52 earthquake records is considered. The statistical analysis of the response data provides the factors for constructing the energy dissipation spectrum as well as the Newmark,Hall inelastic spectra. The combination of these spectra allows the estimation of the ultimate deformation capacity required to survive the design earthquake, capacity that can also be presented in spectral form as an example shows. Copyright © 2001 John Wiley & Sons, Ltd. [source]


Physics-based GPS data inversion to estimate three-dimensional elastic and inelastic strain fields

GEOPHYSICAL JOURNAL INTERNATIONAL, Issue 2 2010
Akemi Noda
SUMMARY The Earth's crust is macroscopically treated as a linear elastic body, but it includes a number of defects. The occurrence of inelastic deformation such as brittle fracture at the defects brings about elastic deformation in the surrounding regions. The crustal deformation observed through geodetic measurements is the sum of the inelastic deformation as source and the elastic deformation as effect. On such a basic idea, we created a theory of physics-based strain analysis with general source representation by moment tensor, and developed an inversion method to separately estimate 3-D elastic and inelastic strain fields from GPS data. In this method, first, the optimum distribution of moment density tensor is determined from observed GPS data by using Akaike's information criterion. Then, the elastic and inelastic strain fields are obtained from the optimum moment tensor distribution by theoretical computation and direct conversion with elastic compliance tensor, respectively. We applied the inversion method to GPS horizontal velocity data, and succeeded in separately estimating 3-D elastic and inelastic strain rate fields in the Niigata,Kobe transformation zone, central Japan. As for the surface patterns of total strain, the present results of 3-D physics-based inversion analysis accord with the previous results of 2-D geometric inversion analysis. From the 3-D patterns of the inverted elastic and inelastic strain fields, we revealed that the remarkable horizontal contraction in the Niigata,Kobe transformation zone is elastic and restricted near the surface, but the remarkable shear deformation is inelastic and extends over the upper crust. [source]


Inside Front Cover: A Unique Microcracking Process Associated with the Inelastic Deformation of Haversian Bone (Adv. Funct.

ADVANCED FUNCTIONAL MATERIALS, Issue 1 2009
Mater.
Human cortical bone is capable of adapting to the mechanical environment through dynamic remodeling of the Haversian systems. The presence of Haversian canals, however, also introduces stress concentration and could have detrimental effects on the fracture resistance of bone. How is the hierarchical structure in bone designed to alleviate such stress concentrations? On page 57, Vincent Ebacher and Rizhi Wang report a unique and stable microcracking process accompanying the inelastic deformation of Haversian bone. The results lead to the critical role of the well-organized bone lamellae surrounding each Haversian canal. [source]


A Unique Microcracking Process Associated with the Inelastic Deformation of Haversian Bone

ADVANCED FUNCTIONAL MATERIALS, Issue 1 2009
Vincent Ebacher
Abstract Since the discovery of the Haversian system in human bone over three hundred years ago, researchers have been wondering about its mechanical advantages. Despite positive experimental evidences on the intervention of Haversian systems in the fracture process, the contributions of Haversian systems to bone fracture have been obscure. Here a unique microcracking process accompanying the inelastic deformation of Haversian bone is reported that may shine light on its structural advantages over other bones. When compressed transversely, the concentric bone lamellae surrounding each Haversian canal allow multiple radial microcracks and arc-shaped cracks to develop intralamellarly. Groups of circumferential arc-shaped microcracks develop in high shear zones and radiate out in oblique directions from each Haversian canal. At the cortical bone level, where the Haversian systems are randomly distributed within the interstitial matrix, multiple nucleations and stable development of such arc-shaped cracks happen to most Haversian systems progressively. As a result, Haversian bone is not sensitive to the presence of Haversian canals and demonstrates high inelastic strains at macroscopic level. [source]


Mechanisms and Mechanics Governing the Indentation of Polycrystalline Alumina

JOURNAL OF THE AMERICAN CERAMIC SOCIETY, Issue 9 2008
Zhensong Wei
A constitutive model for the inelastic deformation of polycrystalline alumina that accounts for both microcrack growth and plastic slip is implemented into a commercial finite element code. To establish its applicability, the code is used to simulate the deformation that occurs upon spherical and conical indentation. Inelastic zones and indentation pressures are predicted over a range of grain size and compared with measurements. The model replicates the mechanism transition from plasticity control at small grain sizes to micro-crack-control at large grain sizes. It also predicts an extensive micro-crack-dominated inelastic zone at large grain size that reduces the indentation pressures. [source]


A Multi-phase-field model including inelastic deformation for solid state transformations

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2008
Stefan BenkeArticle first published online: 26 FEB 200
A multi phase field model is presented in order to take the plastic deformation during a solid state transformation into account and to investigate its effect on the transformation kinetics and morphology in a multi phase material. The model is formulated consistently with the multi phase field model for diffusional and surface driven phase transformations [1]. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]


Modeling and simulation of induced anisotropy and directional hardening effects due to an evolving microstructure in metals

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2005
J. Wang
The purpose of the current work is the formulation, numerical implementation and application of a material model for anisotropic hardening in metals taking the interplay between the the direction of inelastic deformation, the orientation of dislocation structures, and the current deformation/loading direction into account. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]


Design of passive systems for control of inelastic structures

EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Issue 6 2009
Gian Paolo Cimellaro
Abstract A design strategy for control of buildings experiencing inelastic deformations during seismic response is formulated. The strategy is using weakened, and/or softened, elements in a structural system while adding passive energy dissipation devices (e.g. viscous fluid devices, etc.) in order to control simultaneously accelerations and deformations response during seismic events. A design methodology is developed to determine the locations and the magnitude of weakening and/or softening of structural elements and the added damping while insuring structural stability. A two-stage design procedure is suggested: (i) first using a nonlinear active control algorithm, to determine the new structural parameters while insuring stability, then (ii) determine the properties of equivalent structural parameters of passive system, which can be implemented by removing or weakening some structural elements, or connections, and by addition of energy dissipation systems. Passive dampers and weakened elements are designed using an optimization algorithm to obtain a response as close as possible to an actively controlled system. A case study of a five-story building subjected to El Centro ground motion, as well as to an ensemble of simulated ground motions, is presented to illustrate the procedure. The results show that following the design strategy, a control of both peak inter-story drifts and total accelerations can be obtained. Copyright © 2008 John Wiley & Sons, Ltd. [source]


Inelastic deformation response of SDOF systems subjected to earthquakes

EARTHQUAKE ENGINEERING AND STRUCTURAL DYNAMICS, Issue 3 2002
Rafael Riddell
Abstract Performance-based seismic design requires reliable methods to predict earthquake demands on structures, and particularly inelastic deformations, to ensure that specific damage-based criteria are met. Several methods based on the response of equivalent linear single-degree-of-freedom (SDOF) systems have been proposed to estimate the response of multi-degree-of-freedom structures. These methods do not offer advantages over the traditional Veletsos,Newmark,Hall (VNH) procedure, indeed, they have been shown to be inaccurate. In this study, the VNH method is revised, considering the inelastic response of elastoplastic, bilinear, and stiffness-degrading systems with 5% damping subjected to two sets of earthquake ground motions. One is an ensemble of 51 earthquake records in the Circumpacific Belt, and the other is a group of 44 records in California. A statistical analysis of the response data provides factors for constructing VNH inelastic spectra. Such factors show that the ,equal-displacement' and ,equal-energy' rules to relate elastic and inelastic responses are unconservative for high ductilities in the acceleration- and velocity-sensitive regions of the spectrum. It is also shown that, on average, the effect of the type of force,deformation relationship of non-linear systems is not significant, and responses can be conservatively predicted using the simple elastoplastic model. Copyright © 2001 John Wiley & Sons, Ltd. [source]


Global existence of weak-type solutions for models of monotone type in the theory of inelastic deformations

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 14 2002
Krzysztof Che
This article introduces the notion of weak-type solutions for systems of equations from the theory of inelastic deformations, assuming that the considered model is of monotone type (for the definition see [Lecture Notes in Mathematics, 1998, vol. 1682]). For the boundary data associated with the initial-boundary value problem and satisfying the safe-load condition the existence of global in time weak-type solutions is proved assuming that the monotone model is rate-independent or of gradient type. Moreover, for models possessing an additional regularity property (see Section 5) the existence of global solutions in the sense of measures, defined by Temam in Archives for Rational Mechanics and Analysis, 95: 137, is obtained, too. Copyright © 2002 John Wiley & Sons, Ltd. [source]