ZHANG Can-hui, HUANG Qian, FENG Wei. Deformation Rigidity Analysis of Assumed Stress Modes in Hybrid Elements[J]. Applied Mathematics and Mechanics, 2006, 27(7): 757-764.
 Citation: ZHANG Can-hui, HUANG Qian, FENG Wei. Deformation Rigidity Analysis of Assumed Stress Modes in Hybrid Elements[J]. Applied Mathematics and Mechanics, 2006, 27(7): 757-764.

Deformation Rigidity Analysis of Assumed Stress Modes in Hybrid Elements

• Rev Recd Date: 2006-03-30
• Publish Date: 2006-07-15
• The new methods to determine the zero-energy deformation modes in the hybrid elements and the zero-energy stress modes in their assumed stress fields are presented by the natural deformation modes of the elements. And the formula of the additional element deformation rigidity due to additional mode into the assumed stress field is derived. Based on That, it is concluded in theory that the zero-energy stress mode cannot suppress the zero-energy deformation modes but increase the extra rigidity to the nonzero-energy deformation modes of the element instead. So they should not be employed to assume the stress field. In addition, the parasitic stress modes will produce the spurious parasitic energy and result in the element behaving over rigidity. Thus, they should not be used into the assumed stress field even though they can suppress the zero-energy deformation modes of the element. The numerical examples show the performance of the elements including the zero-energy stress modes or the parasitic stress modes.
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沈阳化工大学材料科学与工程学院 沈阳 110142