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Keywords: M-integral
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Journal Articles

Experimental Evaluation of the M- Integral in an Elastic-Plastic Material Containing Multiple Defects

N. Y. Yu, Q. Li, Y. H. Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. January 2013, 80(1): 011021.
Paper No: JAM-11-1445
https://doi.org/10.1115/1.4007083
Published Online: November 19, 2012
...N. Y. Yu; Q. Li; Y. H. Chen Conclusions in this paper can be summarized as: For the special case, if the area between two paths is a purely elastic state, which means w NL  = 0, the integral mentioned in Eq. (13) should vanish and ensure the path-independence property of M -integral...
View Article titled, Experimental Evaluation of the <span class="search-highlight">M</span>- <span class="search-highlight">Integral</span> in an Elastic-Plastic Material Containing Multiple Defects
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Topics: Density, Finite element methods, Stress, Theoretical analysis, Instrumentation, Displacement
Journal Articles

The M -Integral Analysis for a Nano-Inclusion in Plane Elastic Materials Under Uni-Axial or Bi-Axial Loadings

Tong Hui, Yi-Heng Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021019.
https://doi.org/10.1115/1.3176997
Published Online: December 14, 2009
...Tong Hui; Yi-Heng Chen This paper deals with the M -integral analysis for a nano-inclusion in plane elastic materials under uni-axial or bi-axial loadings. Based on previous works ( Gurtin and Murdoch, 1975, “A Continuum Theory of Elastic Material Surfaces,” Arch. Ration. Mech. Anal., 57, pp. 291...
View Article titled, The <span class="search-highlight">M</span> -<span class="search-highlight">Integral</span> Analysis for a Nano-Inclusion in Plane Elastic Materials Under Uni-Axial or Bi-Axial Loadings
Open the PDF for The <span class="search-highlight">M</span> -<span class="search-highlight">Integral</span> Analysis for a Nano-Inclusion in Plane Elastic Materials Under Uni-Axial or Bi-Axial Loadings in another window
Topics: Compression, Nanoscale phenomena, Surface tension, Tension, Stress, Elasticity, Surface energy
Journal Articles

The M -Integral Description for a Brittle Plane Strip With Two Cracks Before and After Coalescence

Hu Yi-Feng, Chen Yi-Heng
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2009, 76(6): 061017.
https://doi.org/10.1115/1.3130818
Published Online: July 27, 2009
...Hu Yi-Feng; Chen Yi-Heng In this paper we extend the M -integral concept ( Eshelby, J. D., 1956, The Continuum Theory of Lattice Defects, Solid State Physics, F. Seitz and D. Turnbull, eds., Academic, New York, pp. 79–141 ; Eshelby, J. D., 1970, The Energy Momentum Tensor in Continuum Mechanics...
View Article titled, The <span class="search-highlight">M</span> -<span class="search-highlight">Integral</span> Description for a Brittle Plane Strip With Two Cracks Before and After Coalescence
Open the PDF for The <span class="search-highlight">M</span> -<span class="search-highlight">Integral</span> Description for a Brittle Plane Strip With Two Cracks Before and After Coalescence in another window
Topics: Brittleness, Fracture (Materials), Elastic moduli, Strips, Damage, Finite element analysis
Journal Articles

M -Integral for Calculating Intensity Factors of Cracked Piezoelectric Materials Using the Exact Boundary Conditions

Yael Motola, Leslie Banks-Sills
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2009, 76(1): 011004.
https://doi.org/10.1115/1.2998485
Published Online: October 31, 2008
...Yael Motola; Leslie Banks-Sills In this paper, the M -integral is extended for calculating intensity factors for cracked piezoelectric ceramics using the exact boundary conditions on the crack faces. The poling direction is taken at an angle to the crack faces within the plane. Since an analytical...
View Article titled, <span class="search-highlight">M</span> -<span class="search-highlight">Integral</span> for Calculating Intensity Factors of Cracked Piezoelectric Materials Using the Exact Boundary Conditions
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Topics: Boundary-value problems, Electrical properties, Fracture (Materials), Stress, Density, Piezoelectric materials, Electric fields, Displacement