In this paper, the formulas for plate deformation as transverse and longitudinal shrinkages as well as vertical deflection produced by induction triangle heating are formed based on eigenstrain concept using laminated plate theory to consider some cuboidal inclusions with eigeinstrain. | Journal of Technical Education Science 06 2016 58 Ho Chi Minh City University of Technology and Education ANALYSIS OF THE DERFORMTION IN INDUCTION TRIANGLE HEATING USING LAMINATED PLATE THEORY PHÂN TÍCH SỰ BIẾN DẠNG QUÁ TRÌNH ĐỐT NÓNG CẢM ỨNG TỪ DẠNG TAM GIÁC DỰA VÀO LÝ THUYẾT TẤM PHẲNG LỚP Nguyen Truong Thinh1 Pham Van Dieu2 1 Ho Chi Minh City University of Technology and Education 2 Gia lai Vocational College Received 14 12 2015 Peer reviewed 30 12 2016 Acctepted for publication 10 5 2016 ABSTRACT Induction triangle heating for plate structures often results in produce various curved thick plate with some types of concave in shipyard industry. The problem of deformation in around an induction heating are being of major concern in shipyard industry. The induction heating induced deformation formulas for induction triangle heating composed process parameters such as heat input size of induction heating velocity of inductor and plate s thickness are developed analytically by using the approximation of several rectangular cuboidal inclusions with eigenstrain in an infinite laminated theory. The source of deformation in induction process is the plastic strains which are caused by non-uniform temperature gradient. The distributions of plastic strain corresponding to eigenstrain are assumed by FEM solutions. In this paper the formulas for plate deformation as transverse and longitudinal shrinkages as well as vertical deflection produced by induction triangle heating are formed based on eigenstrain concept using laminated plate theory to consider some cuboidal inclusions with eigeinstrain. The residual deformation that was due to thermal process was depends on the magnitude and region of plastic strains at heating affected zone. Comparison of the calculated results with experimental and finite element method FEM data shows the accuracy and validity of the proposal method. Keywords Induction heating Triangle heating Laminated plate theory Shipyard Plate deformation
