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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
Article Type: Research-Article
J. Appl. Mech. January 2013, 80(1): 011021.
Paper No: JAM-11-1445
DOI: https://doi.org/10.1115/1.4007083
Published Online: November 19, 2012
... An experimental technique for evaluation of the M-integral in an elastic-plastic material containing multiple defects is proposed by using digital image correlation (DIC). This technique makes direct use of the definition of M by experimentally evaluating the integrand of M at various points along a square...
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
Click here to open pdf in another window PDF for Experimental Evaluation of the <span class="search-highlight">M</span>- <span class="search-highlight">Integral</span> in an Elastic-Plastic Material Containing Multiple Defects
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
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021019.
DOI: 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
Click here to open pdf in another window 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
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
Article Type: Research Papers
J. Appl. Mech. November 2009, 76(6): 061017.
DOI: 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
Click here to open pdf in another window 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
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
Article Type: Research Papers
J. Appl. Mech. January 2009, 76(1): 011004.
DOI: 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
Click here to open pdf in another window PDF for <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
Topics: Boundary-value problems, Electrical properties, Fracture (Materials), Stress, Density, Piezoelectric materials, Electric fields, Displacement