Z. C. Xuan

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— We present an a-posteriori method for computing rigorous upper and lower bounds of the J-integral in two dimensional linear elasticity. The J-integral, which is typically expressed as a contour integral, is recast as a surface integral which yields a quadratic continuous functional of the displacement. By expanding the quadratic output about an(More)
—Municipal wastewater treatment plants (WWTP) are recognized as an important source of carbon emissions. Previous studies have calculated the CO 2 emissions in the operating process of WWTP in the sight of engineering technology and the CO 2 emission which is driven by the pulling effect of investment in WWTP are ignored. This paper calculates the CO 2(More)
Verification of the computation of local quantities of interest, e.g. the displacements at a point, the stresses in a local area and the stress intensity factors at crack tips, plays an important role in improving the structural design for safety. In this paper, the smoothed finite element method (SFEM) is used for finding upper and lower bounds on the(More)
We present an a-posteriori method for computing rigorous upper and lower bounds of the J-integral in two dimensional linear elasticity. The J-integral, which is typically expressed as a contour integral, is recast as a surface integral which yields a quadratic continuous functional of the displacement. By expanding the quadratic output about an approximate(More)
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