scholarly journals Modifications in the Stress Field of a Long Inclined Fault Caused by the Welded-Contact Boundary Conditions across the Interface between Two Elastic Half-Spaces

Engineering ◽  
2010 ◽  
Vol 02 (03) ◽  
pp. 166-171
Author(s):  
Sunita Rani ◽  
Sarva Jit Singh
Keyword(s):  
Stress Field ◽  
Boundary Conditions ◽  
Contact Boundary ◽  
Inclined Fault

Linear Static, Real-Time Finite Element Computations Based on Element Masks

2011 ◽  
Author(s):  
Holger Graf ◽  
Andre´ Stork
Keyword(s):  
Finite Element ◽  
Stress Field ◽  
Boundary Conditions ◽  
Real Time ◽  
Stiffness Matrix ◽  
New Method ◽  
Stress Distributions ◽  
Post Processing ◽  
Time Performance ◽  
Computational Overhead

This paper presents a new method for the manipulation of a given CAE domain in view of VR based explorations that enables engineers to interactively inspect and analyze a linear static domain. The interactions can ideally be performed in real-time in order to provide an intuitive impression of the changes to the underlying volumetric domain. We take the approach of element masking, i.e. the blending out of computations resulting from computational overhead for inner nodes, based on the inversion of the stiffness matrix. This allows us to optimize the re-simulation loop and to achieve real-time performance for strain and stress distributions with immediate visualization feedback caused by interactively changing boundary conditions. The novelty of the presented approach is a direct coupling of view dependent simulations and its close linkage to post-processing tasks. This allows engineers to also inspect the changes of the stress field inside of the volume during, e.g. cross sectioning.

scholarly journals Brain–skull contact boundary conditions in an inverse computational deformation model

2009 ◽  
Vol 13 (4) ◽  
pp. 659-672 ◽  
Author(s):  
Songbai Ji ◽  
David W. Roberts ◽  
Alex Hartov ◽  
Keith D. Paulsen
Keyword(s):  
Boundary Conditions ◽  
Contact Boundary ◽  
Deformation Model

Influence of Boundary Conditions on Higher Order Terms of Near-Crack-Tip Stress Field in a WST Specimen

2011 ◽  
Vol 488-489 ◽  
pp. 399-402 ◽  
Author(s):  
Václav Veselý ◽  
Lucie Šestáková ◽  
Stanislav Seitl
Keyword(s):  
Stress Field ◽  
Boundary Conditions ◽  
Numerical Study ◽  
Higher Order ◽  
Wedge Splitting Test ◽  
Splitting Test ◽  
Higher Order Terms ◽  
Test Geometry ◽  
Finite Element Package ◽  
Stress And Deformation

A precise description of the stress and deformation fields in a cracked body is provided using multi-parameter fracture mechanics based on the approximation of the fields by means of the Williams’ power series. This paper presents a detailed analysis of the stress field in a wedge-splitting test geometry specimen aimed at the calculation of coefficients of the higher order terms (up to 14) of the Williams’ expansion. The numerical study is conducted with the use of a conventional finite element package; however, for processing of the results an over-deterministic method is employed. Special attention is paid to the influence of boundary conditions of the test geometry on the values of the coefficients of the higher order terms of the Williams’ series. The results are compared to data from the literature; a strong effect of the boundary conditions is observed.

Engineering Application of the Slope Failure Criterion

2014 ◽  
Vol 962-965 ◽  
pp. 1143-1146
Author(s):  
Wei Shui Fei ◽  
Cong Ling Zhang ◽  
Peng Xiang Shen
Keyword(s):  
Stress Field ◽  
Boundary Conditions ◽  
Failure Criterion ◽  
Slope Failure ◽  
Failure Process ◽  
Engineering Application ◽  
Material Control ◽  
Unstable Failure ◽  
Rock And Soil ◽  
Sliding Zone

Abstract: The nouniformity of rock and soil materials and differences of boundary conditions caused the differentiation of stress field, together with the elastic-plastic characteristics of sliding zone material control the progressive unstable failure process. In this paper, The analysis of engineering example shows that the mechanical criterion is reasonable to judge the state of progressive slope evolution.

A Penetration-Based Finite Element Method for Hyperelastic 3D Biphasic Tissues in Contact: Part 1-Derivation of Contact Boundary Conditions

2005 ◽  
Vol 128 (1) ◽  
pp. 124-130 ◽  
Author(s):  
Kerem Ün ◽  
Robert L. Spilker
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Boundary Conditions ◽  
Solid Phase ◽  
Contact Boundary ◽  
Element Analysis ◽  
Efficient Manner ◽  
Biphasic Tissues ◽  
Element Method

In this study, we extend the penetration method, previously introduced to simulate contact of linear hydrated tissues in an efficient manner with the finite element method, to problems of nonlinear biphasic tissues in contact. This paper presents the derivation of contact boundary conditions for a biphasic tissue with hyperelastic solid phase using experimental kinematics data. Validation of the method for calculating these boundary conditions is demonstrated using a canonical biphasic contact problem. The method is then demonstrated on a shoulder joint model with contacting humerus and glenoid tissues. In both the canonical and shoulder examples, the resulting boundary conditions are found to satisfy the kinetic continuity requirements of biphasic contact. These boundary conditions represent input to a three-dimensional nonlinear biphasic finite element analysis; details of that finite element analysis will be presented in a manuscript to follow.

An Evaluation of Three-Dimensional Diarthrodial Joint Contact Using Penetration Data and the Finite Element Method

2001 ◽  
Vol 123 (4) ◽  
pp. 333-340 ◽  
Author(s):  
W. L. Dunbar, ◽  
K. U¨n ◽  
P. S. Donzelli ◽  
R. L. Spilker
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Solid Phase ◽  
Constitutive Relations ◽  
Three Dimensional ◽  
Contact Boundary ◽  
Element Analysis ◽  
Joint Contact ◽  
Three Dimensional Finite Element

We have developed an approximate method for simulating the three-dimensional contact of soft biphasic tissues in diarthrodial joints under physiological loading. Input to the method includes: (i) kinematic information describing an in vitro joint articulation, measured while the cartilage is deformed under physiological loads, (ii) geometric properties for the relaxed (undeformed) cartilage layers, obtained for the analyses in this study via stereophotogrammetry, and (iii) material parameters for the biphasic constitutive relations used to represent cartilage. Solid models of the relaxed tissue layers are assembled in physiological positions, resulting in a mathematical overlap of the cartilage layers. The overlap distribution is quantified and converted via the biphasic governing equations into applied traction boundary conditions for both the solid and fluid phases for each of the contacting layers. Linear, biphasic, three-dimensional, finite element analysis is performed using the contact boundary conditions derived for each of the contacting layers. The method is found to produce results consistent with the continuity requirements of biphasic contact. Comparison with results from independent, biphasic contact analyses of axisymmetric problems shows that the method slightly underestimates the contact area, leading to an overestimation of the total traction, but yields a good approximation to elastic stress and solid phase displacement.

The Interaction of Discontinuity Surfaces in Plastic Fields of Stress

1948 ◽  
Vol 15 (3) ◽  
pp. 261-264
Author(s):  
Alice Winzer ◽  
G. F. Carrier
Keyword(s):  
Stress Field ◽  
Fundamental Solution ◽  
Boundary Conditions ◽  
Constant Stress ◽  
Discontinuity Surfaces

Abstract A fundamental solution for problems associated with discontinuity surfaces in the field of stress has been developed by W. Prager, but the accuracy with which it approximates the stress field obtained in actual materials under the same boundary conditions has not been established. In this paper a study is made of the limited case in which the discontinuity surfaces may intersect when they separate fields of constant stress. The results may be applied to more general intersecting fields.

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