TAILIEUCHUNG - Mechanics Of Saouma Part 9

Tham khảo tài liệu 'mechanics of saouma part 9', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Near Crack Tip Stresses and Displacements in Isotropic Cracked Solids 9 Dlait Pure mode I loading ơr ơe Tre Pure mode II loading Ơ r ơe Tre cos - I 1 sin2 - j y 2nr 2 2y 721 cos 1 sin2 1 sin - cos2 - T2T7 2 2 -K 5 sin 3 3 sin 333 7277 V 4 2 4 2 y 7 -K 3 sin 3 3 sin 333 7277 V 4 2 4 2 _KL ficos 3 3 cos 333 2nr 4 2 4 2 Victor Saouma Mechanics of Materials II ELASTICITY BASED SOLUTIONS FOR CRACK PROBLEMS Victor Saouma Mechanics of Materials II Draft Chapter 11 LEFM DESIGN EXAMPLES 1 Following the detailed coverage of the derivation of the linear elastic stress field around a crack tip and the introduction of the concept of a stress intensity factor in the preceding chapter we now seek to apply those equations to some pure mode I practical design problems. 2 First we shall examine how is linear elastic fracture mechanics LEFM effectively used in design examples then we shall give analytical solutions to some simple commonly used test geometries followed by a tabulation of fracture toughness of commonly used engineering materials. Finally this chapter will conclude with some simple design analysis examples. Design Philosophy Based on Linear Elastic Fracture Mechanics 3 One of the underlying principles of fracture mechanics is that unstable fracture occurs when the stress intensity factor SIF reaches a critical value KIc also called fracture toughness. KIc represents the inherent ability of a material to withstand a given stress field intensity at the tip of a crack and to resist progressive tensile crack extension. 4 Thus a crack will propagate under pure mode I whenever the stress intensity factor Kị which characterizes the strength of the singularity for a given problem reaches a material constant KIc. Hence under the assumptions of linear elastic fracture mechanics LEFM at the point of incipient crack growth Kịc tíơựna. 5 Thus for the design of a cracked or potentially cracked structure the engineer would

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