
brechen
to break
To split something hard or brittle into two or more pieces by force. This also includes bone injuries.
Er hat den Ast mit einem lauten Knacken gebrochen.
He broke the branch with a loud crack.
to break
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to break
To split something hard or brittle into two or more pieces by force. This also includes bone injuries.
Er hat den Ast mit einem lauten Knacken gebrochen.
He broke the branch with a loud crack.

to break
To deliberately fail to follow a rule, law, promise, or agreement.
Wer einen Vertrag bricht, muss mit Konsequenzen rechnen.
Anyone who breaks a contract must expect consequences.

to break
To fall apart by itself or come apart at a certain point. Often used for waves.
Die Wellen brechen sich tosend an den Felsen.
The waves break thunderously against the rocks.

to vomit
To throw up; to empty the contents of the stomach through the mouth. Often used as a euphemism.
Nach dem verdorbenen Essen musste er sich die ganze Nacht brechen.
After the spoiled food, he had to vomit all night.

to break
To surpass a previous best performance, for example in sports.
Die Athletin hat den alten Weltrekord um zwei Sekunden gebrochen.
The athlete broke the old world record by two seconds.

to break
To destroy a person's will or resistance.
Durch die Folter versuchten sie, seinen Willen zu brechen.
Through torture, they tried to break his will.

to refract
In physics, to change the direction of a light or sound ray when it passes from one medium into another.
Ein Löffel in einem Wasserglas scheint geknickt, weil das Wasser das Licht bricht.
A spoon in a glass of water appears bent because the water refracts the light.
'Brechen' (to break) can be used transitively (with an accusative object) or intransitively (without an object). Transitive means that someone or something actively breaks something. Intransitive means that something breaks by itself.
Sie bricht den Schokoladenriegel in zwei Hälften.
She breaks the chocolate bar into two halves.
When someone breaks a bone, German uses a dative construction: 'sich (Dativ) etwas (Akkusativ) brechen' (to break something). The person is in the dative, and the body part is in the accusative.
Ich habe mir beim Skifahren das Bein gebrochen.
I broke my leg while skiing.
In this meaning, 'brechen' (to break) is used with abstract nouns that represent a rule or agreement. Typical collocations are 'ein Versprechen brechen' (to break a promise), 'das Gesetz brechen' (to break the law), 'sein Wort brechen' (to break one's word), or 'das Schweigen brechen' (to break the silence).
Er hat sein Versprechen gebrochen, pünktlich zu sein.
He broke his promise to be on time.
When the subject of the sentence is 'Wellen' (waves), 'brechen' (to break) is always used intransitively. It describes the natural movement of waves as they reach the shore or obstacles.
Wir saßen am Strand und sahen zu, wie die Wellen am Ufer brachen.
We sat on the beach and watched the waves break on the shore.
In the meaning of 'sich übergeben' (to vomit), the verb is always used reflexively: 'sich brechen' (to vomit). This formulation is considered somewhat more formal or a euphemism (a softened expression).
Dem Jungen wurde auf der langen Autofahrt schlecht und er musste sich brechen.
The boy felt sick on the long car ride and had to vomit.
In a sports or competitive context, the most common and almost the only collocation is 'einen Rekord brechen' (to break a record).
Der Schwimmer hofft, bei den Olympischen Spielen den Weltrekord zu brechen.
The swimmer hopes to break the world record at the Olympic Games.
When 'brechen' (to refract) is used in a scientific context with 'Licht' (light) or 'Schall' (sound) as the object, it means 'to refract'. The subject is the medium that causes the refraction (e.g., water, glass).
Ein Prisma bricht das weiße Licht in seine Spektralfarben.
A prism refracts white light into its spectral colors.
to overcome
Both words can express that a person’s resistance is successfully ended. „Brechen“ emphasizes more strongly that the will or resistance is destroyed, while „überwinden“ highlights successfully overcoming the difficulty. „Brechen“ is suitable for broken resistance, while „überwinden“ is used for a challenge that has been overcome.

Die lange Gefangenschaft konnte schließlich seinen Widerstand brechen.
The long imprisonment was eventually able to break his resistance.
Mit Geduld konnte die Ärztin seine Angst vor der Behandlung überwinden.
With patience, the doctor was able to overcome his fear of the treatment.