The forming principle behind metal drawn parts,specifically in the process of deep drawing,is a controlled application of tensile and compressive stresses to transform a flat sheet metal blank into a hollow,three-dimensional vessel.It is a process of converting a plane shape into a volumetric shape without significantly changing the thickness of the material.
The fundamental principle can be broken down into the interaction of forces and material flow:
1.The Core Mechanism:Plastic Flow Under Tension and Compression
The process begins with a flat blank,a punch,a die,and a blank holder.As the punch descends and pushes the central portion of the blank into the die cavity,it generates a complex stress state in the material.
Tensile Stress in the Cup Wall:The portion of the blank that is being forced down by the punch(the future cup wall and bottom)is subjected to high tensile stresses.The punch is effectively pulling the metal into the die.If this tensile stress exceeds the material's ultimate tensile strength,the part will tear,typically at the junction of the wall and the bottom(the punch nose radius).
Compressive Stress in the Flange:The outer annular portion of the blank(the flange)is not directly under the punch.Instead,it is being drawn radially inward toward the die opening.As its circumference decreases(a large circle being forced into a smaller circle),the material is subjected to high circumferential compressive stresses.If unrestrained,these compressive forces will cause the flange to buckle and wrinkle.
2.The Role of the Blank Holder:Controlling Wrinkling
This is where the critical role of the blank holder comes into play.The blank holder applies a controlled,downward force on the flange.Its purpose is not to prevent movement,but to control it.By applying just enough pressure,it acts as a friction brake,allowing the metal to slide inward smoothly while suppressing the tendency to wrinkle.The blank holder force must be carefully calibrated:too little,and wrinkling occurs;too much,and it restricts flow,increasing tensile stress and risking a tear.
3.Material Flow and Thinning
As the flange is pulled inward,it undergoes a significant change.Think of it as a series of radial segments.As they are drawn towards the smaller die radius,they are forced to"bunch up"circumferentially.To accommodate this,the material in the flange thickens slightly.Conversely,the material that has been pulled into the die wall and is now vertical has undergone significant stretching and typically thins out.The most severe thinning,and thus the highest risk of failure,is often found at the punch corner radius,where the metal is being bent and straightened under high tension.
4.Key Geometric Principle:Volume Constancy
Throughout this process,a fundamental law of physics governs the transformation:the volume of metal remains constant.Because the metal's thickness is largely constrained and cannot increase freely(except for the slight thickening in the flange),the reduction in circumference(compression in the flange)is compensated for by an increase in the vertical height of the part.The material that was once part of a flat,wide disc is redistributed to become the tall walls of the drawn cup.
In essence,the forming principle of deep drawing is a delicate balance.It is the art of managing tensile forces to pull the metal into a cavity while simultaneously using compressive restraint to prevent it from collapsing.The success of the operation hinges on controlling these forces,the material's properties(especially its ductility),the geometry of the tools(punch and die radii),friction,and the precise application of blank holder pressure to achieve a defect-free,drawn part.