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math.AP2021★ 2 cited
Equations of motion for cracked beams and shallow arches
Semion Gutman, Junhong Ha, Sudeok Shon
Cracks in beams and shallow arches are modeled by massless rotational springs. First, we introduce a specially designed linear operator that "absorbs" the boundary conditions at th…
math.AP2021★ 5 cited
Variational setting for cracked beams and shallow arches
Semion Gutman, Junhong Ha, Sudeok Shon
We develop a rigorous mathematical framework for the weak formulation of cracked beams and shallow arches problems. First, we discuss the crack modeling by means of massless rotati…