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I've been told that some of Mattheck's ideas have been invalidated or modified since the first publishing. Can anybody share some insight?
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I wrote this back in 2000 or so, and I'm now gathering additional posts and writings, including a lecture request to the ISA..
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<Bob Wulkowicz>
Posted Monday April 10, 2000 02:50 AM
I wrote this in the Arb. Lit. forum and decided to move it here as an Arg. Lit. item to stir up some juices:
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I have a lot of problems with Mattheck's works. It has been my plan to write very specific challenges to the concepts and assumptions he has offered. For now, I'll keep it simple.
Trained, traditional engineers--or physicists--are most comfortable in the world of phenomena reduced to equations, and much is to be said in support of that inclination. For me however, Mattheck tugs and pulls the issues of trees over into this often tidy world whether or not the issues fit.
For example, in the finite element method of computer analysis he provides, the hidden truth is that the analysis works on monolithic materials, steel, etc., with the stresses, failures, and propagation's of problems operating in a single type of material consistent through its mass. The photos of FEM are persuasive in that they are windows of the "new science," but they are also deceptive if they're done about apples when we're talking about oranges.
Klaus shows the corresponding stress and patterns of stress in making a hole in a homogeneous material which is to remove an amount of an area that should be available to share the loads. The patterns of stress concentration are understandable and, yes, he is teaching us valid and useful information. Engineers build that information into their designs to make better and more successful outcomes. Liberty ships were lost because of crack propagation that continued unchecked until the ship split in half and sank. The awareness of that probability lead to anticipation and reinforcement with future designs.
Mattheck takes this one attribute of monolithic materials and expands it to trees. Holes in trees are "flaws" and we can suddenly infer the structural liabilities of trees from a touch of sophomoric text on engineering equations. In same-stuff materials, there are engineering solutions--reinforcement, drilling holes in the end of a crack to spread the load, and in the last hundred years, composites and laminations. Oddly, trees thought up laminations more than a hundred million years ago.
Indeed, trees are the quintessential proponents of living composite lamination. Klaus's sense of flawed structure is quite distant from them. Mattheck, to me, stops abruptly when what he theorizes resembles an equation. See, he says, it fits--so, let's get on to the next question... I'm sorry. I have a difficult time with that especially when it's presented as dogma to an information-starved audience like those of us in the arboriculture business.
The approximation of plate steel with a hole under tension (the plate pulled at each end) has very little to do with a tree. At best, it is illustrative of a "plate steel with a hole under tension" in Engineering 101. Mattheck would have us stop at comfortable linear equations, when trees are unquestionably non-linear.
His FEM offerings also assume that growth in a tree is akin to the thermal expansion of a homogeneous material. Well, it's a shame that trees haven't read his works; they grow completely differently and the differences are so substantial that he is only giving us a great deal of simplistic misinformation instead of what we need.
I cannot, in good conscience, evaluate a tree based on his pronouncements. People would be shocked if they found out the thinness of the base from which his hollow tree failure "guidelines" are built. But in a world where we'll cut down a tree at the hint of a shadow of a lawyer, what difference does it make?
Maybe I'll present it as a paper in detail at the ISA August conference.
Bob Wulkowicz
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Posted Monday April 10, 2000 09:10 PM Scott Cullen
Reply to post by Bob Wulkowicz, on April 09, 2000 at 12:50:02:
Bob,
I think there are two (at least) key issues surrounding the "culture" of all this.
The first I understand pretty well. It's a phenomenon that many of us have observed and that you describe quite well: "...an information-starved audience like those of us in the arboriculture business." Whether it's from an honest and responsible desire to base arboriculture on "science" or a more self serving desire to have a good sales pitch or an awestruck self esteem thing there's this pattern of grasping for and locking onto nuggets of theory or "fact" and making icons out of the theorizers. There are lots of groupies. "If so and so says it who are we to question?"
The second I'm just starting to get a handle on. We've seen it for a long time in the industry sponsored research on pesticides... "of course this chemical is good." There are commercial products coming to market which are by-passing industry third parties and are the business enterprises of the theorists themselves. Layer onto this researchers wandering along the edges of their fields and along the edges of charted territory and you add some more lack of certainty. And finally add in rivalries among theorists which propell them into attacks and defenses against each other rather than refined attacks on the unknown.
Combine those potential biases with a grasping and non-scientific audience and what do you get? I guess you get overstatements of certainty.
What should we be getting? Maybe a little better understanding, sharper questions, another step along the way. More tools to apply differently to differing fact patterns rather than allegedly universal rules. The fault is as much among the receivers as the providers.
OK moving back to your specific observations...
I think you're not alone in questioning. There's another German scientist named Lothar Wessoly who is all over Mattheck. As nearly as I can tell the science of Mechanics is divided into Statics, Dynamics and Strength of Materials... Mattheck is a Strength of Materials guy and Wessoly is a Statics guy. Kim Coder is setting up a May, 2001 conference on tree mechanics and I think clarification of these differences may be on the agenda.
A number of the Ph.D. types (no names to protect the innocent) are reserved in their application of Mattheck data and "rules" but not necessarily rejecting of it all.
Next... Assuming Mattheck is a Strength of Materials guy one would suspect he has or should have made some consideration of the differences between steel and organic materials. In fact some of his work involves computer modeling of the similarities among trees, animal and human bone, bird's beaks and so forth. Can he have ignored that the material propertis are different from a steel lifting hook? Dunno.
Have you looked at Mattheck's "windthrow" materials and do you have any comment about them?
Scott (Cullen)
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