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Keywords: integral equations
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. October 2019, 86(10): 101012.
Paper No: JAM-19-1238
Published Online: August 31, 2019
... of a cylinder subjected to nonuniform shear traction at one end and an equilibrating torque at the other. The formulation leads to a pair of interfacial integral equations governing the relative rigid body rotation and the interfacial separation field. The cohesive interface is assumed to be modeled by three...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2010, 77(3): 031020.
Published Online: March 5, 2010
... the feasibility and practicability of the proposed approach. 24 06 2008 19 12 2008 05 03 2010 05 03 2010 elasticity fracture integral equations interface phenomena numerical analysis stress analysis stress intensity factors three-dimensional interface corner domain...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021019.
Published Online: December 14, 2009
..., the magnitude of the negative M -integral representing the energy absorbing of the soft inclusion or void increases very sharply as the radius of the soft inclusion or void decreases from 5 nm to 1 nm. 13 12 2008 01 06 2009 14 12 2009 14 12 2009 elasticity inclusions integral...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021014.
Published Online: December 14, 2009
...-plastic regime, such as stick-slip problems, and also for metals and alloys with low or moderate yield stress. 13 01 2009 02 06 2009 14 12 2009 14 12 2009 alloys elasticity elastoplasticity finite element analysis friction high-temperature effects integral equations...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 2010, 77(2): 024505.
Published Online: December 14, 2009
... integral equations nanomechanics nanostructured materials noncrystalline defects surface tension voids (solid) The two state M -integral Mode decomposition Nano-inclusion Surface tension Surface Lamè constants The concept of the two state conservation integral such as the two state...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061017.
Published Online: August 21, 2008
...N. Sundaram; T. N. Farris A fast numerical method based on the Cauchy singular integral equations is presented to determine the contact pressure and extents for the contact of two-dimensional similar isotropic bodies when the contact area consists of two separate regions. The partial-slip problem...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061008.
Published Online: August 20, 2008
... integral nanosized hole surface effect size dependence elasticity integral equations internal stresses micromechanics nanostructured materials plates (structures) 11 11 2007 18 03 2008 20 08 2008 2008 American Society of Mechanical Engineers ...
Journal Articles
Publisher: ASME
Article Type: Special Issue Honoring Professor Fazil Erdogan’S Contributions To Mixed Boundary Value Problems Of Inhomogeneous And Functionally Graded Materials
J. Appl. Mech. September 2008, 75(5): 051111.
Published Online: July 11, 2008
...Fazil Erdogan; Murat Ozturk Generally, the mixed boundary value problems in fracture and contact mechanics may be formulated in terms of integral equations. Through a careful asymptotic analysis of the kernels and by separating nonintegrable singular parts, the unique features of the unknown...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. September 2007, 74(5): 1046–1048.
Published Online: November 21, 2006
... elastoplasticity cracks integral equations For a homogeneous elastic material, Rice ( 1 ) introduced the path-independent J contour integral and derived it as the (potential) energy release rate G defined by 1 G = − d Π d a where Π is the potential energy...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2007, 74(5): 852–860.
Published Online: July 13, 2006
...Chun-Ron Chiang; George J. Weng By means of the Hankel transform and dual-integral equations, the nonlinear response of a penny-shaped dielectric crack with a permittivity κ 0 in a transversely isotropic piezoelectric ceramic is solved under the applied tensile stress σ z A and electric...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2007, 74(4): 770–783.
Published Online: June 13, 2006
... is presented to solve the resulting Fredholm type integral equations. By using this technique, exact and closed form solutions have been obtained for the elastic disturbance fields. In the solution two new tensors appear, which are termed the Dirichlet–Eshelby tensor and the Neumann–Eshelby tensor. In contrast...
Topics: Tensors
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2007, 74(1): 128–143.
Published Online: April 1, 2006
... parallel to the horizontal bounding surfaces at specified elevations or interfaces. Based on half-range Fourier series and the local/global stiffness matrix approach, the mixed boundary-value problem is reduced to a system of coupled singular integral equations of the Cauchy type with kernels formulated...
Journal Articles
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. September 2006, 73(5): 876–883.
Published Online: November 21, 2005
... criterion. 17 06 2005 21 11 2005 cracks crack-edge stress field analysis dislocations integral equations vectors The following three topics: (i) vector J i ( i = 1 , 2 ) integrals, (ii) crack growth criteria, (iii) crack interacting...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 544–554.
Published Online: September 26, 2005
.... The mixed initial-boundary value problem is reduced to a singular integral equation of a generalized Cauchy kernel for the crack tearing displacement density or screw dislocation density. The Gauss-Jacobi quadrature technique is employed to numerically solve the singular integral equation...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2005, 72(5): 772–777.
Published Online: May 20, 2005
... ) ] exp [ i η j ( ξ ) y ] ξ r 0 η j ( ξ ) [ η j 2 ( ξ ) + ξ 2 ] d ξ where res(∙) stands for residue ( 25 ). plates (structures) elasticity vehicles partial differential equations integral equations Dynamic response of a thin plate...
Journal Articles
Publisher: ASME
Article Type: Article
J. Appl. Mech. March 2005, 72(2): 157–164.
Published Online: March 15, 2005
... that is considered to be a Coulomb type. By solving an integral equation, the normal traction between the web and the blade can be expressed as a function of the blade profile and the web speed. Numerical calculations are performed for an ideal razor blade with the wedge shape. The analysis presented in this study...
Journal Articles
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. January 2006, 73(1): 134–142.
Published Online: March 8, 2005
...B. L. Wang; Y.-W. Mai A periodic array of cracks in a functionally graded coating bonded to a homogeneous substrate is considered. The medium is subjected to transient or static mechanical loads. The problem is formulated in terms of a singular integral equation with the crack face displacement...
Journal Articles
Publisher: ASME
Article Type: Article
J. Appl. Mech. May 2005, 72(3): 351–364.
Published Online: July 27, 2004
... fracture mechanics integral equations surface cracks finite element analysis tensors internal stresses crack-edge stress field analysis To determine fracture parameters, e.g., stress intensity factors (SIFs) and T stress, by means of the interaction integral ( M integral 3 ) method...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. March 2004, 71(2): 287–290.
Published Online: May 5, 2004
... integral equations which are solved approximately. The effects of the frictional heating and the roughness on the contact size and on the contact pressure are presented. Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL...
Journal Articles